A 14 ft ladder is used to scale a 13 ft wall. At what angle of elevation must the laxder be situated in order to reach the top of the wall?
Answers
Answer:
The angle of elevation is equal to 68.2 degrees
Step-by-step explanation:
As you can see from the image below we are trying to find the angle on the bottom right.
We know that the hypotenuse is equal to 14 and we know that the opposite is equal to 14. This means that we will be using Sine.
sin x = 13/14
divide:
sin x = 0.9285714286
now we need to use sin^-1
sin^-1 (0.9285714286) = 68.21321071
Round 68.21321071 to the nearest tenth:
68.2
The angle of elevation is 68.2 degrees!
Answer:
[tex]\theta \approx 68^\circ[/tex]
Step-by-step explanation:
Trigonometry
The ladder, the wall, and the ground form a right triangle, where the ladder is the longest side (hypotenuse).
The trigonometric ratios stand on right triangles and can be used to relate side lengths with angles.
The angle of elevation, formed by the ladder and the ground has the height of the wall as the opposite side. Thus we can use the sine ratio, defined as:
[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \sin\theta=\frac{13}{14}[/tex]
Solving:
[tex]\displaystyle \theta=\arcsin \frac{13}{14}[/tex]
Calculating:
[tex]\mathbf{\theta \approx 68^\circ}[/tex]
Related Questions
Completing Proofs Involving Linear Pairs
Given: m ZELG = 124°
Prove: x = 28
Statements
Reasons
1. m ZELG = 124
1. given
2. m ZELD = 2x
2. given
H
L
3. ZELG and ZELD are
a linear pair
3. definition of a linear pair
(2x)
G
4. m ZELD + m ZELG = 180
4.
Ε
• F.
5. 2x + 124 = 180
5. substitution
Complete the steps in the two-column proof.
6.
6. subtraction property
7. x = 28
7. division property
Intro
Done
vity
Answers
Answer:
1. angle addition post
2. 2x=56
The corresponding angles of the lines solved and the value of x = 28°
What are angles in parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.
We can conclude three factors determining parallel lines ,
Alternate angles are equal
Corresponding angles are equal
Co-interior angles add up to 180°
Given data ,
Let the measure of ∠ELG = 124°
The measure of ∠ELD = 2x
∠ELG and ∠ELD are a linear pairs of angles
So , the measure of ∠ELG + ∠ELD = 180°
On simplifying , we get
2x + 124° = 180°
Subtracting 124° on both sides , we get
2x = 56°
Divide by 2 on both sides , we get
x = 28°
Therefore , the value of x is 28°
Hence , the angle is x = 28°
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help please i need help with my math i would be really grateful
Answers
Answer:
#1. > (13.5 > 12)
#2. >(25 > 20)
#3. 15 * 1/3 = 5
8 * 3/5 = 24/5 or 4.80
5/6 * 8/5 = 4/3 or 1.333
Step-by-step explanation:
I hope this helped!!!
What is the length of MN?
Answers
Answer:
MN = 6
This is because the shapes are dialations of each other
So PO and ML are the same side of the triangles but ML is dialated by a factor of 3.5 so that applies to the whole shape. So 21/3.5 = 6
A cow is tied with a rope of length 14 m at the corner of a rectangle field of dimension 20 m × 16 m, then the area of the field in which the cow can graze is:
A) 154 m²
B) 156 m²
C) 158 m²
D) 160 m²
unwanted answers will be reported...and the best will be marked as the brainliest...
Answers
D) 160
Step by step explanation
To find the area of a object you must multiply the length by the height in this case they gave you an equation instead of an exact height so the first thing you have to do is:
20m x 16m = 320m
But as you can see, all of the answers have an exponent of two meaning we would have to divide 320 by 2
320 ÷ 2 = 160
Brainliest?
The distance a truck travels varies directly with the number of hours driven. A truck travels 268 miles in 4 hours. If the truck continues to travel at this same rate, how long will it take the truck to go 938 miles?
Answers
Answer:
14hrs
Step-by-step explanation:
Answer:
14 hours
Step-by-step explanation:
Mickey simplified the expression below. He then checked his work by substituting 4 for x. He noticed his two values were not equal. What was Mickey's error when simplifying? Expression Simplified Expression 2 x squared minus 4 x minus 9 minus x squared + 2 x + 3 x squared minus 6 x minus 6 Mickey should have added –4 and 2 when combining the coefficients of the x terms. Mickey should have added 2 and 1 when combining the x squared terms. Mickey should have added 9 and 3 when combining the constant terms. Mickey should have added –4 and –1 when combining the x terms. Mark this and return
Answers
Full question attached:
Mickey simplified the expression below. He then checked his work by substituting 4 for x. He noticed his two values were not equal. What was Mickey’s error when simplifying?
Expression: 2x^2 - 4x - 9 - x^2 + 2x + 3
Simplified expression: x^2 - 6x - 6
ANSWER CHOICES:
Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Mickey should have added 2 and 1 when combining the x^2 terms.
Mickey should have added 9 and 3 when combining the constant terms.
Mickey should have added –4 and –1 when combining the x terms.
Answer
Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Explanation:
To simplify an expression means to group and organize the expression in a such a way that it becomes more understandable, and can now easily be solved
Given the expression 2x² - 4x - 9 - x² + 2x + 3 to simplify
We first group and find like terms and then add and cancel out
2x²-x²- 4x+2x - 9+ 3
=x²-2x-6
Mickey did not add the coefficients -4 and +2 for x terms in the expression, instead it looked like he added 4+2 as the coefficients
Therefore the correct option is
Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Answer:
Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Step-by-step explanation:
the vector to fully describe the single transformation which takes triangle A to triangle
Answers
Answer:
The translation vector from A to B is (-4,6)
Step-by-step explanation:
A translation vector is a type of transformation that moves a figure in the coordinate plane from one location to another.
All the vertices of the figure are translated by the same vector, and the resulting figure is shifted horizontally and vertically.
The vertices of triangle A are:
(3,-1) (1,-4) (3,-4)
The corresponding vertices of triangle B are:
(-1,5) (-3,2) (-1,2)
Subtracting the vertices of B from vertices of A:
(-4,6) (-4,6) (-4,6)
Note they are result in the same translation vector, thus:
The translation vector from A to B is (-4,6)
w/6+5/8=-1 3/8
w=
3(3w-4)=-20
w=
-6y+8y=-24
y=
Answers
Answer:
1) w=
2) w= -8/9
3) y= -12
Step-by-step explanation:
Can you rewrite the 1st problem or take a picture of it? I don't understand how I would write that haha. You’re welcome :)
Bao buys a skateboard that originally cost $38. He uses a coupon to save 20%. How many dollars does Bao pay for the skateboard?
Answers
Answer:
$30.40
Step-by-step explanation:
a gift shop sells fruit baskets that each contain 4 apples and 3 oranges. If
the shop owner orders 24 apples and 20 oranges, some fruit will be leftover.
How should the owner adjust the order so there is no fruit left over? Explain.
Answers
Ans5
Step-by-step explanation:
5
NO ONE WILL HELP ME :(((((((
Answers
Answer:
-1 to -3 = -3
Step-by-step explanation:
best of luck
which number is irrational?
a. 0.3 repeating
b. 5/6
c. square root of 2
d. the square root of 9
Answers
Answer: square root of 2
Step-by-step explanation:
There is no definitive answer for it, so it is irrational.
Which angles are corresponding angles?
Answers
Answer:
∠LKM and ∠IHK
Step-by-step explanation:
hey, this is homework that is due today❤️ feel free to help thank you ☺️ have a g❤️❤️d day☺️
Answers
Answer:
About $1.82
Step-by-step explanation:
PLEASE HURRY
The Liberia zoo had 30 giraffes in its exhibit. The zoo loaned 7 giraffes to a neighboring zoo. How many giraffes remained at the Liberia zoo? Which equation models the situation? How many giraffes remained at the Liberia zoo?
Answers
Answer:
23
Step-by-step explanation:
30-7=23
Answer:
23
Step-by-step explanation:
30 - 7 = 23
the person above me is correct!
What is the length of EF in the right triangle below? E 17 13 F
A. 458
B. 458
C. 4
D. 1120
E. 30
F. 120
Answers
Answer:
The answer is D. √120
Step-by-step explanation:
Using the pythangorean theorem when solving the missing side of a right triangle, so given a^2 + b^2 = c^2. We have side c, and a so we must rearanged this to fit side b.
So: a^2 + b^2 = c^2 → b^2 = c^2 - a^2 →
b = √(c^2 - a^2).
Given side c or the hypotenuse is 17, and a is 13. side b must have a length of:
√(17^2-13^2) = √(289 - 169) = √120
The value of the length of EF in the right triangle is,
⇒ EF = √120
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
We have to given that;
In triangle DEF,
DF = 13
DE = 17
Hence, By using Pythagoras theorem,
⇒ DE² = EF² + DF²
⇒ 17² = EF² + 13²
⇒ 289 = EF² + 169
⇒ EF² = 289 - 169
⇒ EF² = 120
⇒ EF = √120
Thus, the length of EF in the right triangle is,
⇒ EF = √120
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Calculate 0.470.81+1.631 write full display of calculator
-----------------------
ii- Give your answer correct to 4 significant figures
Answers
Find the slope of the line passing through the pair points (7,6) and (-7,-6)
Answers
Answer:
=6/7
Step-by-step explanation:
What is the equation of the line through the origin and (-4,-9)?
A. y= 4x
B. y = 4/9x
c. y = 9/4x
D. y = 9x
Answers
Answer: c) y = 9/4 · x
Step-by-step explanation:
We can use slope formula to find the slope of a line that passes through two points (x₁ , y₁) and (x₂ , y₂)
m = ∆y/∆x = y₂-y₁/x₂-x₁Given points are: P(x₁ , y₁) = (0, 0) and Q(x₂ , y₂) = (-4, -9)
Substituting these two known points in the slope formula, we have:
m = (-9-0)/(-4-0) = -9/-4 = 9/4Now we can use the point-slope formula to write the equation of a line given a point on the line and the slope of the line:
m = 9/4 , given point P(x₁ , y₁) = (0, 0)
Formula = (y-y₁) = m(x-x₁) (y-0) = 9/4(x-0) y = 9/4 · xAnswer: c) y = 9/4 · x
SpymoreA sprinter travels a distance of 100 m in a time of 11.21 seconds.
What is the sprinter's average speed rounded to 4 sf?
Answers
Answer:
distance travelled by sprinter = 100 m
Time taken = 11.21sec
∵speed = distance/time taken
= 100/9.83
= 10.17 m/s
Now we know, 1 km/h = 1000/3600 m/s
so, 1 m/s = 3600/1000 km/h = 18/5 km/h
∴ 10.17 m/s = 10.17 × 18/5 = 10.17 × 18/5 = 36.612 km/h
Hence, average speed = 36.612 km/h
Step-by-step explanation:
Answer:
distance travelled by sprinter = 100 m
Time taken = 11.21sec
Hence, average speed = 36.612 km/h
Step-by-step explanation:
HELP????!?!?!??!? {PLEASEEEEEEEE
Answers
Answer:
the answer is A
Step-by-step explanation:
I have a feeling in my genitals
Help me plzzzzz zzzzzz
Answers
Answer:
B.
Step-by-step explanation:
onferences
On vacation last summer, the Baker family went to the beach. Julie and her mom wanted to get a view of the
coastline, so they went parasailing 120 feet above the ocean. Jamie and his dad wanted to explore the fish and
the reef, so they went scuba diving 20 feet underwater.
ewsela
mation
ng periods
1905. 02 - 3906, Q3 -
04 - 3908
1. For a moment in time, Julie was directly above Jamie. Use a vertical number line to show the location of Julie
and Jamie at that moment. (DRAWING)
2. What integer represents Julie's location?
3. What integer represents Jamie's location?
4. Use the number line to find the distance between Jamie and Julie. What is that distance between them?
5. They also observed more things while they were on vacation: a bird, a dolphin, a buoy, and the bottom of
the ocean. Plot each of these things on your number line where you think they may have been and explain
your reasoning for each. (DRAWING and a written ANSWER required)
Poste
Answers
Answer:
Step-by-step explanation:
2). 120
3). - 20
4). 120 + 20 = 140 feet
5). A bird is 20 ft above Julie
A buoy is on the water at (0, 0)
A dolphin is 30ft below Jamie
A summer movie club charges a $30 membership fee and then $5 per movie. Which equation can be used to find y, the total cost of the movie club, if x represents the number of movies watched. *
Answers
X being the movies watched and y being the initial fee
Answer:
B: y = 5x + 30
Step-by-step explanation:
The Hu family goes out for lunch, and the price of the meal is $42. The sales tax on the
meal is 6%, and the family also leaves a 20% tip on the pre-tax amount. What is the
total cost of the meal?
Answers
Answer:
The total cost of the meal was $52.92.
Step-by-step explanation:
Find the amount of tax:
[tex]42 * 0.06 = 2.52[/tex]Find the amount of tip:
[tex]42 * 0.20 = 8.4[/tex]Add the cost of the meal, tax and tip to find total cost:
[tex]42 + 2.52 + 8.4 = 52.92[/tex]Help please!! 15 points!!
Which set of numbers form a right triangle?
Choose all that apply
A) 4, 5, 6
B) 5, 12, 13
C) 8, 15, 17
D) 10, 15, 20
Answers
Answer:
A and D
Step-by-step explanation:
One side-base right triangle and one angle-based right triangle.
What is mZDFC?
ERRE
O 45°
125
O 80°
45
0125°
O 1350
B
Answers
Answer:So 80/100*x = 100 Multiply and divide the right hand side by 20 4/5*x = 100 Cross multiply and equate it to ... Francis Anthony, B,E Electronics and Communication Engineering, Madha Engineering College (2014) ... Similarly multiply 100 by 1.25 to get 125 as 100 % if 80 % is 100. ... What's greater, 45% of 19 or 19% of 45?
Step-by-step explanation:
In the winter, Grandma Helen knits scarves for her family members. It took her 70 minutes to make a 35-inch-long scarf for her grandson, Sean. Now, she wants to make a 50-inch-long scarf for her granddaughter, Shannon. If Grandma Helen knits at the same rate, how many minutes will it take her to make Shannon's scarf?
Answers
Answer:
100 minutes
Step-by-step explanation:
Set up a proportion where x is the amount of minutes it will take her to make the 50 inch long scarf:
[tex]\frac{70}{35}[/tex] = [tex]\frac{x}{50}[/tex]
Cross multiply and solve for x:
35x = 3500
x = 100
So, it will take her 100 minutes to make Shannon's scarf
Write a real world problem for the equation 8x+2=26
Answers
Answer:
George has 8x+2=26 bottles of soap what is x
Step-by-step explanation:
Select the correct locations on the graph. Select the lines that represent functions.
Answers
Answer:
SECOND QOURDANT
Step-by-step explanation:
The graph lying in first quadrant and graph of horizontal line lying in the fourth quadrant are representing functions.
A function is such type of mapping which strictly has one and only one value corresponding to each input given to the function.
The graph of first quadrant satisfies the condition of a mapping being a function.
The second quadrant contains a graph of parabola but as it is visible, the graph has two values for each input x it takes from -3 to -6. Example: At x = -6, the function outputs y = 2 and y = 5 two values. Thus it is NOT a function.
The third quadrant contains similar graph which also doesn't satisfy the single output constraint. Example, at x = -1, it outputs y = -2 and y = -6 both. Thus its NOT a function.
The fourth quadrant has a graph of two lines. First line is horizontal and has only one value to each x it allows as valid input. Thus it represents a function.
In the same fourth quadrant lies another line but that is vertical. For value x=4. it has several values of y. Thus its NOT a function either.
Thus the graph lying in first quadrant and graph of horizontal line lying in the fourth quadrant are representing functions.
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