From one point on the ground, the
angle of elevation of the peak of a
mountain is 10.38°, and from a
point 15,860 ft closer to the
mountain, the angle of elevation is
14.67º. Both points are due south of
the mountain. Find the height of the
mountain.
10.38°
一企一
14.67°
15,860 ft
Answers
Trigonometry allows to find the result for the question about the height of the mountain is:
The height mountain is: y = 9674.4 ftTrigonometry allows finding relationships between the angles of a right triangle.
[tex]tan \theta = \frac{y}{x}[/tex]
Where θ is the angle, y the opposite leg (height) and x the adjacent leg (horizontal distance).
In the attachment we can see a diagram of the system. They indicate that for x distance the angle is 14.67º
tan 14.67 = [tex]\frac{y}{x}[/tex]
At the other point the angle is 10.38º.
tan 10.38 = [tex]\frac{y}{x+15860}[/tex]
We look for the horizontal distance (x) with these equations.
x tan 14.67 = (x + 15860) tan 10.38
x tan 14.67 / tan 10.38 = x + 15860
x 1,429 = x + 15860
x 0.429 = 15860
x = [tex]\frac{15680}{0.429}[/tex]
x = 36955.3 ft
We calculate for the height.
y = x tan 14.67
y = 36955.3 tan 14.67
y = 9674.4 ft
In conclusion using trigonometry we can find the result for the height of the mountain is:
The height is y = 9674.4 ftLearn more about trigonometry here: https://brainly.com/question/8120556
Related Questions
A 30 g mass is attached to one end of a 10-cm-long spring.
The other end of the spring is connected to a frictionless pivot on
a frictionless, horizontal surface. Spinning the mass around in a
circle at 90 rpm causes the spring to stretch to a length of 12 cm.
What is the value of the spring constant?
Answers
The value of the spring constant of the spring is 14.7 N/m.
The given parameters;
mass attached to the spring, m = 30 glength of the spring, L₀ = 10 cmangular speed of the mass = 90 rpmfinal length of the spring, L₁ = 12 cmThe extension of the spring is calculated as follows;
[tex]\Delta x = L_1 - L_0\\\\\Delta x = 12 \ cm - \ 10 \ cm\\\\\Delta x = 2 \ cm = 0.02 \ m[/tex]
The value of the spring constant of the spring is calculated by applying Hooke's law;
[tex]F = mg = k\Delta x\\\\k = \frac{mg}{\Delta x } \\\\k = \frac{0.03 \times 9.8}{0.02} \\\\k = 14.7 \ N/m[/tex]
Learn more about Hooke's law here:https://brainly.com/question/4404276
rube goldberg machine steps
Answers
Answer:
Rube Goldberg Machine is "a comically involved, complicated invention, laboriously contrived to preform a simple operation." 2. What are the 6 Simple Machines? A. The 6 Simple Machines are: wedge, screw, lever, wheel and axel, inclined plane and pulley.
Abigail runs one complete lap (400m) around the track, while Gabi runs a 50 meter dash in a straight line. Which runner had a greater displacement?
Answers
Answer:
The distance of one lap on this track from the start line to the finish line is 400 meters. Two laps around the track is 800 meters, half a lap is 200 meters, and so on.
Remember, displacement is the direction from the starting point and the length of a straight line from the starting point to the ending point. If a runner was going to run 400 meters (one lap around the track), they would start and stop at the same place on the track. Therefore, their displacement would be 0.
Explanation:
hope this helped
Answer:
[tex]\boxed {\boxed {\sf Gabi \ had \ greater \ displacement}}[/tex]
Explanation:
Displacement is the change in the position of an object.
Abigail runs a complete lap around the track, which is 400 meters. Even though she ran 400 meters, she has no displacement. If she starts and ends at the same spot, there is no change in position.
Gabi runs a 50 meter dash in a straight line. Gabi has 50 meters of displacement. She runs in a straight line and is 50 meters away from where she began.
While Abigail ran the farther distance, Gabi had the greater displacement.
Desperate Please Hurry
What was the evidence that Earth was round before there were photos from space?
Answers
Answer:
?????
Explanation:
????????????????????‽,??????????????????‽????????????????????????????????????
When traveling north from the United States into Canada, you'll see the North Star (Polaris) getting _________. lower in the sky higher in the sky dimmer brighter
Answers
When traveling north from the United States into Canada, you'll see the
North Star (Polaris) getting higher in the sky .
This is because the polaris which is also known as North Star is located
very close to the north celestial pole. When an objects moves towards the
north , the polaris gets higher due to its upward northern location.
This is the major reason why when traveling north from the United States
into Canada, you'll see the North Star (Polaris) getting higher.
Read more about Polaris on https://brainly.com/question/1130377
Answer:
Higher
Explanation:
As you go further north, the Star Polaris rises in the sky. This is due to it being circumpolar meaning that the star doesn't move in the night sky (Often)
A medieval instrument used to determine the position of the sun:
Answers
Answer: astrolabe
Explanation:
An object is struck by a 5N force for 8 seconds causing the object to experience a change in it's motion. What is the impulse acting on the object?
Answers
Hi there!
Recall the equation for impulse:
[tex]I = \Delta p = F * t[/tex]
Where:
I = Impulse (Ns)
F = Force (N)
t = Time (s)
Plug in the given values:
I = 5 · 8 = 40 Ns
The magnitude of acceleration due to gravity is
Select one:
a. 9.8 m/s
b. 8.9 m/s2
c. 4.6 m/s
Answers
Answer:
The magnitude of a gravity is always 9.8 which is later approximated to 10m/s.
Answer:
a. 9.8
Explanation:
The magnitude of acceleration due to gravity is 9.8
GUYS COULD SOMEONE PLEASE HELP ME?
PLEASE ASAP
Write a summary of how the eye works:
Answers
Answer:
Eye function renders you the sense of sight. They convert light into electrical signals. Afterwards, the brain deciphers these electrical signals into images. Properly working healthy eyes are able to perform the following functions.
Explanation:
what is the definition for the term Resistance?
Answers
Answer:
Hey mate....
Explanation:
This is ur answer.....
There are 2 definitions :-
The refusal to accept or comply with something.The ability not to be affected by something, especially adversely.Hope it helps!
Brainliest pls!
Follow me! :)
A 75 kg diver has 5,150.25 J of gravitational potential energy. Determine the diver’s height
Answers
Answer:3.4m
Explanation:
How far does an object travel if it is moving at a speed of 4 m/s for 3.2 seconds?
SOMEONE PLEASE HELP ME
Answers
Answer:
12.8 metres
Explanation:
distance = speed x time
distance = 4 x 3.2
distance = 12.8
3) A 14 kg object is sitting at the top of a hill that is 100 m high. What is the potential energy of the
object?
Answers
Answer:
13,720 joules
Explanation:
Epotential = mgh
mass x gravity x height
Ep= 14 x 9.8 x 100
Ep=13,720 joules
An object is moving with a constant velocity of 311 m/s. How long will it take it to travel 9000 m?
Answers
[tex]\text{Given that,}\\\\\text{Velocity, v= 311 m s}^{-1}\\\\\text{Displacement, s = 9000 m}\\\\\text{Since velocity is constant,}\\\\s=vt\\\\\implies t =\dfrac{s}v = \dfrac{9000}{311} = 28.94 ~ \text{sec}.[/tex]
A position versus time graph is shown:
Position vs. Time
1 15
10
10
Time (seconds) ->
Which statement accurately describes the motion of the object in the graph above?
O It is at rest for 3 seconds before moving at constant speed for 10 seconds.
It is at rest for 3 seconds before moving at constant speed for 4 seconds.
Olt is moving from 0 cm to 5 cm at constant speed of 7 cm/s.
O it is moving from 0 cm to 3 cm at a constant speed of 3 cm/s.
Answers
Answer: Answer: The object moves forward at 5 m/s, stops, and then changes velocity.
Explanation:
With the information given in the question we can graph the points (image attached).
As we can observe, in the first segment of the graph the velocity is increasing linearly (at a constant rate) and is 5 m/s, then in the second segment we can see the position of the object remains the same from second 2 to second 4, which means the object is stopped.
Finally, in the third and last segment, we can observe a change in velocity (at a negative constant rate, because is decreasing), which is decreasing until the object stops.
Explanation:
Use what you know about mass and how you use it to calculate force in the following situation. If each washer has a mass of 4. 9 g, then the mass of two washers in kilograms would be. Given that F = ma, and if 4 washers are attached to the string and car instead of 2, then the applied force on the car will be. Recall a = 10 m/s2.
Answers
Considering the change of units and the definition of weight, the mass of two washers would be 0.0098 kg and if 4 washers are attached to the string, then the applied force on the car will be 0.196 N.
Mass of two washers
If each washer has a mass of 4.9 g, then the mass of two washers will be calculated simply by multiplying the mass of 1 washer by the amount you have of them, in this case 2:
4.9 g×2= 9.8 g
Being 1 kg = 1000 g, you apply the following rule of three to make the change of units: if 1000 g equals 1 kg, 9.8 g equals how many kilograms?
[tex]mass=\frac{9.8 gramsx1 kg}{1000g}[/tex]
Solving:
mass= 0.0098 kg
Finally, the mass of two washers would be 0.0098 kg.
Applied forceOn the other side, mass is the amount of matter that a body contains and weight is the action exerted by the force of gravity on the body.
The mass of an object will always be the same, no matter where it is located. Instead, the weight of the object will vary according to the force of gravity acting on it.
Weight is calculated as the product of the object's mass and the value of the gravitational acceleration:
W= m×g
In this case, you know:
m= 4.9 g×4= 19.6 g= 0.0196 kg → the mass of 4 washers in kilogramsg= 10 m/s²Replacing:
W= 0.0196 kg× 10 m/s²
Solving:
W= 0.196 N
Finally, if 4 washers are attached to the string, then the applied force on the car will be 0.196 N.
Learn more:
brainly.com/question/15566515?referrer=searchResults brainly.com/question/15271930?referrer=searchResults brainly.com/question/4735812?referrer=searchResultsAnswer:
C, B
Explanation:
if clarisses mass on earth is 52kg what would be her weight on venus if the acceleration due to gravity on that planet is 8.87 m/s^2
Answers
Answer:
Weight=F=MA=52*8.87=461.24
What is the control group
Answers
Answer: the group in an experiment that doesn’t get treatment
Explanation:
A child on a spinning ride at a playground has a centripetal acceleration of 0. 80 m/s2. The child completes a full circle every 4. 2 s. How far from the center of the ride is the child? 0. 068 m 0. 085 m 0. 27 m 0. 36 m.
Answers
The distance of the child from the center of the ride is 0.28 m.
The given parameters;
Centripetal acceleration of the child, a = 0.8 m/s²Number of revolution, = 1 rev per 4.2 sThe angular speed of the child is calculated as follows;
[tex]\omega = \frac{1 \ rev}{4.2 \ s} \times \frac{2 \pi \ rad}{1 \ rev} \\\\\omega = 1.5 \ rad/s[/tex]
The radius of the circle is calculated as follows;
[tex]a_c = \omega ^2 r\\\\r = \frac{a_c }{\omega ^2} \\\\r = \frac{0.8}{1.5^2} \\\\r = 0.28 \ m[/tex]
Thus, the distance of the child from the center of the ride is 0.28 m.
Learn more about angular speed here: https://brainly.com/question/6860269
A swimming pool of width 9.0 m and length 12.0 m is filled with water to a depth of 3.0 m. Calculate pressure on the bottom of the pool due to the water.
Hint: 1 m^3 of water has a mass of 1000 kg.
Answers
With the use of the formula, the pressure on the bottom of the pool due to the water is 29400 Pascal
Given that a swimming pool of width 9.0 m and length 12.0 m is filled with water to a depth of 3.0 m.
Volume = Length x Width x Height
Volume = 9 x 12 x 3
Volume = 324 [tex]m^{3}[/tex]
Since 1 m^3 of water has a mass of 1000 kg,
Mass = 324 x 1000
mass = 324000 kg
To calculate the pressure on the bottom of the pool due to the water, let us use the pressure formula below
P = δgh
where
P = pressure
δ = density of the water = 1000 kg/[tex]m^{3}[/tex]
g = Acceleration due to gravity = 9.8 m/[tex]s^{2}[/tex]
h = height = 3m
Substitute all the parameters into the formula
P = 1000 x 9.8 x 3
P = 29400 Pascal
Therefore, the pressure on the bottom of the pool due to the water is 29400 Pascal
Learn more about Pressure here: https://brainly.com/question/25736513
write the resistivity of gold, iron ,Mercury, silver,copper? which is bad conductor?
Answers
Answer:
Mercury is a bad conductor of heat but a fair conductor of electricity
By the way PURE SILVER is the best conductor of electricity
Please Mark as brainliest
what does it mean to be skeptical of health fraud
Answers
Something that is falsely advertised to help different health issues. An example could be Eyeball massagers
PE:
Write T in the blank if the statement is true and E if it is false.
_____1. A basketball game starts with a jump ball.
_____2. Basketball is a cardiovascular work-out.
_____3. The middle of the basketball court is called the sideline.
_____4. Unlimited substitutions are allowed during a regular basketball game.
_____5. If the ball crosses the sideline, it is considered out of bounds and goes to the other team.
_____6. A turnover is any loss of the ball without a shot being taken.
_____7. A player may intentionally kick the ball for the team's benefit.
_____8. When dribbling a ball, a basketball you want to keep the ball below your waist and off to the side of your body.
_____9. If your opponent shoots at the wrong hoop your team receives the points.
_____10. After a player stops dribbling the ball in basketball, he or she is allowed 4 steps to pass or shoot.
Answers
Answer:
The answers are:
T, T, F, F, T, T, F, F, T, T, F
Good luck!
How to do this question plz
Answers
Answer:
C
Explanation:
Most discussions of refraction will have a diagram similar to that of C.
The angle of incidence is measured from the normal to the boundary, as is the angle of refraction. The product of the sine of the angle and the index of refraction is the same for the media on either side of the boundary.
n₁·sin(θ₁) = n₂·sin(θ₂)
For media, such as optical fiber, that has an index of refraction greater than 1, the angle of refraction will be smaller in that media than the angle of incidence coming from air.
Figure C applies.
A multi-dimensional being reaches down to Earth and pulls you out of the universe. You are then thrown back into the universe at a place and time of the being's choosing, and you are permitted to leave only after you have identified your surroundings. This process is repeated several times. Through a scientifically unexplainable miracle, you are able to survive in every one of the places that you find yourself. In each scenario below, identify your surroundings (and potentially your cosmic era) from among the choices given. You find yourself in a place that is unimaginably hot and dense. A rapidly changing gravitational field randomly warps space and time. Gripped by these huge fluctuations, you notice that there is but a single, unified force governing the universe.
Required:
Where are you?
Answers
You are in an early universe.
In the study of the evolution of the universe, it has been determined before Plank time (before the big bang and right after it), the early universe had the following characteristics:
There was only one single force acting over all that existed.The early universe was very hot and dense because all matter had contracted before the big bang.Space and time were wrapped.These characteristics match the ones described, based on this, we can conclude you are in an early universe.
Learn more about universe in: https://brainly.com/question/9724831
A 40W lamp wastes 34 J of energy every second by heating its surroundings.
What is the efficiency of the lamp?
С
18%
D
85%
A
0.15%
15%
B
Answers
Answer:
[tex]15\%[/tex].
Explanation:
The efficiency of a machine is the percentage of energy input that was turned into useful energy.
The power rating of this lamp is [tex]40\; \rm W[/tex] (same as [tex]40\; \rm J \cdot s^{-1}[/tex],) meaning that [tex]40\; \rm J[/tex] of energy is supplied to this lamp every second.
The question states that [tex]34\; \rm J[/tex] out of that [tex]40\; \rm J[/tex] of energy input would be turned into heat, which is not useful energy output in this scenario. Assuming that all other forms of energy loss is negligible. The rest of the [tex](40\; \rm J - 34\; \rm J) = 6\; \rm J[/tex] of energy supplied to this lamp would be turned into useful energy output.
Thus, every second, this lamp would receive [tex]40\; \rm J[/tex] of energy input and would outputs [tex]6\; \rm J[/tex] of useful work. The efficiency of this lamp would be:
[tex]\begin{aligned}& \text{Efficiency} \\ =\; & \frac{\text{Useful energy out}}{\text{Total energy in}} \times 100\% \\ =\; & \frac{6\; \rm J}{40\; \rm J} \times 100\%\\ =\; &15\% \end{aligned}[/tex].
What is the frequency of a wave with a wavelength of 15 m and a wavespeed of
300 m/s?
Answers
Answer: f=20 (i think)
Explanation:
all I did was divide 300 and 15.
300/15= 20
What is the relationship between momentum and speed?
Answers
Answer:
Momentum is directly proportional to the object's mass and also its velocity.
Explanation:
Thus the greater an object's mass or the greater its velocity, the greater its momentum. Momentum p is a vector having the same direction as the velocity v.
Which statement best explains why a wet saw used to cut through a fine optical crystals is constantly lubricated with oil
Answers
The major reason why a wet saw that is used in cutting optical crystals is constantly lubricated with oil is largely due to friction, lubrication decreases friction and minimises the increase of internal energy.
Friction is basically the coming together of two parts that rubs against each other, it causes heat and lead to deterioration of surfaces, it can also lead to wear and tear.
Although, despite it down side, friction is desire-able in most applications
e.g the brake system of vehicles, and if not for friction, we humans cannot walk without falling
learn more:
https://brainly.com/question/24338873
"true wisdom is knowing what you don't know"
Reader's Response/explanation
(Y'all I need help)
Answers
Answer:
“The only true wisdom is in knowing you know nothing.” ― Socrates. Socrates had it right. Remain humble and appreciate the fact that you don't know everything. ... Thankfully, one's search for knowledge has no end as there is always something new to learn, giving one's life meaning and purpose.
Explanation:
Answer:
knowing wisdom cool
Explanation:
lol