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

Question

asked Aug 17, 2021 233k views

1 Answer

Brash Equilibrium · Answer 1 · 2021-08-22T11:22:52+0000

Answer:

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;

$\sin(x) = 0.6$

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

$x = 36.87 \degree$