# algebra

posted by .

if a wall is 34 feet, how tall must a ladder be to reach the top if at a 75 degree angle

• algebra -

let x = length of ladder
if you draw the figure, you actually form a right triangle, where the ladder is the hypotenuse, and the wall is the height. Thus, we use trigonometry.
sin (angle) = opposite / hypotenuse
sin 75 = 34 / x
x = 34 / (sin 75)
x = 34 / 0.966
x = 37.27 ft

hope this helps~ :)

## Similar Questions

1. ### algebra

A ladder is resting against a wall. The top of the ladder touches the wall at a height of 15 feet and the length of the ladder is one foot more than twice the distance from the wall. Find the distance from the wall to the bottom of …

How long must a ladder be to reach the top of a 20' wall if the ladder and the wall form a 32 angle (at the top)?
3. ### college

A ladder 10 feet long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a speed of 2 ft/s, how fast is the angle between the top of the ladder and the wall changing when the angle is /4 radians?
4. ### math

a ladder rests against the top of a wall. The head of a person 3.5 feet tall just touches the ladder. The person is 3 feet from the wall and 7 feet from the foot of the ladder. What is the height of the wall?
5. ### Geometry/trig

A ladder, 17 feet long, leans against a wall at a 49 degree angle to the ground. How far up the wall does the ladder reach?
6. ### Calculus

A fence 3 feet tall runs parallel to a tall building at a distance of 3 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building. Answer the following: …
7. ### Calculus

A fence 5 feet tall runs parallel to a tall building at a distance of 2 feet from the building. We want to find the the length of the shortest ladder that will reach from the ground over the fence to the wall of the building. Here …
8. ### calculus

a ladder 6 feet long leans against a vertical building. the bottom of the ladder slides away from the building horizontally at rate of 1/2 ft/sec. A) at what rate is the top of the ladder sliding down the wall when the bottom of the …
9. ### algebra

Sheila is climbing on a ladder that is attached against the side of a jungle gym wall. She is 5 feet off the ground and 3 feet from the base of the ladder, which is 15 feet from the wall. How high up the wall is the top of the ladder?
10. ### Geometry

John is painting the side of a building that is 30ft tall. The ladder is at a 68 degree angle with the ground. while standing on the ladder the highest point John can reach is 4 ft above where the ladder touches the wall. What is the …

More Similar Questions