Question

A 30 foot ladder needs to reach 18 feet high against a building. What would the approximate angle of elevation be from the ground?

Answer 1

The angle of elevation is 36.87°

Explanation:

We use the sine ratio to determine the angle of elevation, x.

The sine ratio is given as:

`\sin(x) = (opposite)/(hypotenuse)`

We substitute the opposite side, which is the height of the pole and the hypotenuse, which is the height of the ladder to get:

`\sin(x) = (18)/(30)`This implies that;

`\sin(x) = 0.6`

`x = \sin^( - 1) (0.6)`

`x = 36.87 \degree`