The angle of elevation of the top of a flagpole from a point on the ground 30 meters
from the base of the flagpole is 18 degrees. What is the height of the flagpole, to the
nearest meter?
I need help
Answers
Answer:
[tex]10\:\mathrm{meters}[/tex]
Step-by-step explanation:
We can use trigonometry for a right triangle to solve this problem:
[tex]\tan 18^{\circ}=\frac{h}{30},\\h=30\cdot\tan 18^{\circ},\\h\approx \fbox{$10\:\mathrm{m}$}[/tex].
The height of the flagpole is 10 meters.
What is angle of elevation?"It is the angle from the horizontal upward to an object."
For given question,
Consider the following figure.
The angle of elevation is 18°
⇒ ∠ACB = 18°
Also, BC = 30 meters
We need to find the height of the flagpole i.e., we need to find the distance AB.
Consider a tan(∠ACB )
[tex]\Rightarrow tan(18^{\circ})=\frac{AB}{BC}\\\\ \Rightarrow 0.3249 = \frac{AB}{30}\\\\ \Rightarrow AB=9.747 ~~meters\\\\\Rightarrow AB\approx 10~~meters[/tex]
Therefore, the height of the flagpole is 10 meters.
Learn more about angle of elevation here:
https://brainly.com/question/21137209
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Related Questions
The sum of the angle measures of any triangle is 180°. If one angle of a triangle measures 35º and another angle measures 72º, what is the measure of the third angle?
Answers
Answer:
73°
Step-by-step explanation:
Start with 35° + 72° = 107°
Then 180° - 107° = 73°
Answer:
[tex]we \: knw \: that \: total \: angle = 180 \\ 35 + 72 + x = 180 \\ 107 + x = 180 \\ x = 180 - 107 \\ x = 73 \\ thank \: you[/tex]
1 I am thinking of a 6-digit number. • The sum of the digits is 38. • The number is under 600 000. What could my number be? Find twelve different possibilities.
Answers
Answer:
A 6 digit number can be written as:
abcdef
Where each letter represents a single digit.
We know that this number is smaller than 600,000, and we also know that:
a + b + c + d + e + f = 38
Now, we have a lot of variables, so we can play a little.
I will suppose that:
f = 6
e = 7
d = 3
c = 9
then we have:
a + b + 9 + 3 + 7 + 6 = 38
a´+ b + 25 = 38
a + b = 38 - 25 = 13
now let's suppose that b = 8
a + 8 = 13
a = 13 - 8 = 5
Then our number is:
589,376
This number is smaller than 600,000, and if we add the sum of the digits is 38.
Now we want to find 11 other numbers like this.
We can simply change the places of some of the digits, like:
598,376 (also meets the condition)
Where i just changed the positions of the 9 and the 8.
589,367 (also meets te condition)
Where i just changed the position of the 6 and 7.
Now just keep doing that, only take care that the number can not be larger than 600,000, so i will leave the first 5 fixed in that position.
589,673 (also meets the condition)
598,736 (also meets the conditions)
536,798 (also meets the conditions)
536,897 (also meets the conditions)
536,978 (also meets the conditions)
563,798 (also meets the conditions)
563,987 (also meets the conditions)
563,879 (also meets the conditions)
573,689 (also meets the conditions)
573,869 (also meets the conditions)
HELP NEEDED HELP NEEDED!
Answers
Answer:
G. 8.625 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of first rectangle:
1.5 × 2.5 = 3.75 ftArea of second rectangle:
1.5 × 2.5 = 3.75 ftArea of triangle:
1.5 × 1.5 = 2.252.25 ÷ 2 = 1.125Put them together:
3.75 + 3.75 + 1.125 = 8.625 [tex]ft^{2}[/tex]I hope this helps!
Mrs.Anderson writes a check for 10.50 to each of her four nieces. What will be the total change in Mrs.Andersons checking account balance after all four checks are cashed?
Answers
Answer:
-42
Step-by-step explanation:
Since she is handing them equally to her four nieces, then she has to do 10.50 x 4
= 42 since they are asking how much checks were cashed, the answer will be negative so therefore the answer is $-42
solve h+9.7=-9.7 and show me the steps
Answers
Answer:
h = -19.4
Step-by-step explanation:
1. Take the constant on the left side of the equation by changing the positive to a negative ---> h = -9.7 -9.7
2. Solve the right side, and you have yuor answer. ---> h = -19.4
One pipe can fill a tank in four hours; another pipe can fill the same tank in three hours. How long would it take to fill the tank if both pipes filled it at the same time? [?] hours Enter the number that belongs in the green box. Enter
Answers
9514 1404 393
Answer:
[tex]\dfrac{12}{7}[/tex]
Step-by-step explanation:
The first pipe fills 1/4 of the tank in 1 hour. The second pipe fills 1/3 of the tank in 1 hour. So, in 1 hour, the amount of the tank that is filled is ...
[tex]\dfrac{1}{4}+\dfrac{1}{3}=\dfrac{3}{12}+\dfrac{4}{12}=\dfrac{7}{12}\quad\text{of the tank in 1 hour}[/tex]
This number is the fill rate in tanks per hour. We want the reciprocal of that, the fill time in hours per tank. The reciprocal of 7/12 is 12/7.
It will take 12/7 hours to fill the tank.
_____
Comment on the answer
It looks like you may be asked to fill two "green boxes" to provide the complete answer. The box shown as green in this question is the numerator of the fraction, so should be filled with 12. (We expect that the denominator entry will be made available as soon as you enter the numerator. Your experience with this web site will tell you if that is true.)
Monica needs to increase her savings by 20%. If she has $85 already in her savings account, how much does she need to add?
Answers
85 x .2 = 17
she needs to add $17
1. Please explain how/why you chose your answer.
Which equation is equivalent to 4x - 3y = 12?
please help asap!
Answers
Answer: -4/3x +4=y
Step-by-step explanation:
y=mx+b
A minibus drives with a constant speed of 80 miles per hour. How far can it travel in 2 1/2 hours?
Answers
Answer:
200 Miles
Step-by-step explanation:
Solve the inequality 2(n + 3) - 4<6. Then graph
the solution
Answers
I think it's -40 but don't put that answer k might be wrong
A real estate agency an agent salty house for 313,000. The commission rate is 4.5 for the real estate agency in the commission rate for the agent is 20% of the amount the real estate agent gets. How much did the agency make on the house? How much did the agent earn in comission
Answers
Answer:
313000/100 X 4.5 = 14085
14085/100 X 20 = 2817
14085 - 2817 = 11268
agency = 11268
agent = 2817
SOME ONE PLZ HELP ME WITH THESE IM TIMED PLZZZ
Answers
13) SSS
14) SAS
15) ASA
16) AAS
please mark brainliest!
Gary had 30 dollars to spend on 3 gifts. He spent 9 1 4 dollars on gift A and 6 4 5 dollars on gift B. How much money did he have left for gift C?
Answers
Answer:
$13.95
Step-by-step explanation:
Total Amount to spend on gifts = $30
Number of gifts to purchase = 3
Amount spent on gift A = $9 1/4
Amount spent on gift B = $6 4/5
Amount left to spend on gift C:
Total amount - (gift A + gift B)
$30 - ($9 1/4 + 6 4/5)
$30 - (37/4 + 34/5)
$30 - (185 - 136) / 20
$30 - 321 / 20
30 - 16.05
$13.95
Find -0.5D D=[18. 16] [-14 -6]
Options are: A. [9 8] [-14 -6] B. [9 8] [7 3] C. [9. 8] [-7 -3] D. [-9 -8] [7 3]
Answers
Answer:
The correct answer is Option D: [-9 -8] [7 3]
Step-by-step explanation:
Given that
D = [18 16][-14 -6]
We have to find -0.5D
In order to find the required values of D we only have to multiply the individual elements with -0.5, this might change the signs of elements and reduce the magnitude.
So,
[tex]-0.5D = [-0.5*18\ \ -0.5*16][-0.5*-14\ \ \ -0.5*-6]\\-0.5D =[-9\ \ \ -8][7\ \ \ 3][/tex]
Hence,
The correct answer is Option D: [-9 -8] [7 3]
Simplify each and state the excluded values.
8x^3/12x^2+16
Answers
Answer:
Cancel the common factor of 8 and 12x²+6.
Tap for more steps...
4x³/6x²+3
Factor 3
out of 6x²+3.
4x³/3(2x²+1)
Step-by-step explanation:
divided 9 by the sum of 2 and 9 Equals (15 pts)
Please Help!!
Answers
Answer:
4.5
Step-by-step explanation:
Answer:
.81818181818
Step-by-step explanation:
9/(2+9)
9/11
.81818181818
WILL MARK BRAINLIEST !!!! Which equation is an equation of a circle with a radius of 3 and its center is at (5, -2)?
(x - 5)² + (y + 2)² = 3
(x - 5)² + (y + 2)² = 9
(x + 5)² + (y – 2)² = 3
(x + 5)² + (y - 2)² = 9
Answers
Answer:
the first one
Step-by-step explanation:
Answer:
(x + 5)² + (y – 2)² = 3
Step-by-step explanation:
a= 8, b= 2, c= 1
Answers
Answer:
and
Step-by-step explanation:
your question is ???
Answer:what’s your question
Step-by-step explanation:
Like seriously what is it
Please help me with this
Answers
Answer:
emily 37.44$ Andy 22.15$
Step-by-step explanation:
Andy needs 23 feet multiply 23 feet by 12 you get the amount of inches so 276 inches if the cost for 130 inches is 10.40 we need to increase this number proportionally to 276 So 130+113%=276.9 so 276. Now 10.40x113%=22.15.
Emily needs 13 yards, 13 yards is 39 feet, 39 feet is 468 inches, Now do same thing we did for Andy. 130+360%=468 exactly 10.40+360%=37.44
At the science fair, Adriana uses 8 fluid ounces of vinegar to make her volcano erupt. How many times can she make her volcano erupt with 1 quart of vinegar?
Answers
Answer:
4 times
Step-by-step explanation:
We known that 1 quart is equivalent to 32 fluid ounces
Suppose each eruption consumes 8 fluid of ounces, if we also assume that the amount of vinegar required per eruption is constant, then the number of times Adriana can make her volcano erupt is
n = 32 / 8
n = 4 times
Adriana can make her volcano erupt 4 times with 1 quart of vinegar
Emma made a scale model of the Sam Houston's monument. The monument's actual height is 67 ft tall. Emma is using a scale where 1 inch is 10 ft. What is the height of Emma's model?
Answers
Answer: 6.7inch
Step-by-step explanation:
From the question, we are informed that Emma made a scale model of the Sam Houston's monument and that the monument's actual height is 67 ft tall but Emma is using a scale where 1 inch is 10 ft.
The height of Emma's model will therefore be 67ft divided by 10 since he's using a scale of 1:10. This will be:
= 67/10
= 6.7inch
Calculate the pay for the following day of a
weekly time card given a wage of $13/hr.
Name
Week of:
Morning
In Out
Monday 08:00 12:00
Afternoon
In Out
12:45
17.30
pay = $[?]
Round your answer to the nearest hundredth.
Please help if you can.
Answers
Answer:
dfsfsffsfsdfsfsfsfsfsfsefsfsdfsff
Step-by-step explanation:sfsfsfsf
fsfsfdfdsfsdfsfsf
Which graph represents the function r(x) = |x – 2| - 1
Answers
Answer:you diddnt attach a graph but it woul have a stating pooint of positive 3 and a slove of up one over 1 so 1/1 +3
Step-by-step explanation:
12. The original price of a stove was $480. Its price has since increased by $30. The stove is
currently on sale for 10% off. What is the sale price for the stove?
A $459
B. $462
C. $472
D. $500
Answers
Answer:
A. $459
Step-by-step explanation:
A local cell phone company charges $10.95 per month plus $0.15 per minute of anytime used.
Answers
Answer:
1.6425
Step-by-step explanation:
A roller coaster has 3 trains with 7 rows per train. Riders stand in rows of 6, for a total of 42 riders per train. The operators of the coaster recorded the number of riders on each train during a run. On the first train, the operators reported that 6 rows were filled. On the second train, all 7 rows were filled. On the third train, 4 rows were filled. How many rows were empty on the first train? How many additional riders would it take to fill those empty rows?
Answers
Answer:
a. 1 row
b. 6 people
Step-by-step explanation:
a. Each train has 7 rows yet the first train only had 6 rows filled up. This means that:
= 7 - 6
= 1 row was empty
b. Riders stand in rows of 6 which means that one row has 6 people. With only 1 row empty, the number of people needed will be:
= 6 people
29% expressed as a fraction in simplest form is?
Answers
Hope this helps!
Happy Paws charges $22.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $5.75 per hour. Write an equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.
Answers
Answer:
Total amount charged by Happy Paws = 22 + 4.50h
Total amount charged by Woof Watchers = 11 + 5.75h
3.2 hours
Step-by-step explanation:
Total amount charged by Happy Paws = 22 + 4.50h
Total amount charged by Woof Watchers = 11 + 5.75h
22 + 4.50h = 11 + 5.75h
Collect like terms
22 + 11 = 4.5h + 5.75h
33 = 10.25h
Solve for h
33/10.25 = h
h = 3.22
What is the equation of the line represented by the data in the table
Answers
Answer: y = -1/2x - 1
PLEASE HELP ME PLEASEEEEEEEEEEE
A triangle is inscribed in a square, as shown. Write a simplified function r in terms of x that represents the area of the shaded region.
Answers
This is the same as (1/2)x^2 because 1/2 = 0.5
We could rewrite that into [tex]\frac{x^2}{2}[/tex]
=========================================================
Explanation:
The base of the white triangle (aka unshaded region) is x, while the height is also x
The area of the white triangle is
A = 0.5*base*height
A = 0.5*x*x
A = 0.5*x^2
The area of the entire square is x*x = x^2. Subtract off the area of the white triangle to get the area of the two blue shaded regions combined
shaded region = (square area) - (white triangle area)
shaded region = (x^2) - (0.5x^2)
shaded region = x^2 - 0.5x^2
shaded region = 1x^2 - 0.5x^2
shaded region = (1-0.5)x^2
shaded region = 0.5x^2
So the white triangle occupies half of the square, while the blue shaded region occupies the remaining 50% of the square.
Because 0.5 = 1/2, we can write this as (1/2)x^2, but I think using decimals in this case is easier.