Question

For a 25 ft. ladder to reach a certain window, it must make an angle of 63 deg. with the ground. How do you find the angle that a 30 ft. ladder must make with the ground to reach the some window?

Answer 1

The `30` ft ladder will make an angle of `47.95^0` with the ground to reach the same window.

Explanation:

Let height of the window from ground be `x` ft . Ladder, ground

and window forms a right triangle of which ladder makes an angle

of `theta=63^0` with the ground. `sin 63 = x/25`

`x= 25*sin 63 ~~22.275` ft . So height of the window from

ground is `22.275` ft . For `30` ft ladder, `sin theta= 22.275/30`

or `sin theta ~~ 0.7425 :. theta = sin^-1 (0.7425)~~47.95^0`

The `30`ft ladder will make an angle of `47.95^0` with the

ground to reach the same window. (Ans]