Question

A 50-foot ladder is leaning against a vertical wall. If the base of the ladder is 45 feet from the base of the wall, find the angle the bottling of the ladder makes with the ground.

Answer 1

Answer:

25.8°

Step-by-step explanation:

The wall is vertical so it makes 90°  with the ground.

The ladder forms a right triangle of base = 45 ft and hypotenuse = 50 ft

To find the angle (x) the ladder makes with the ground:

Cos x = $\frac{45}{50}$ = 0.9

$Cos^{-1}$ 0.9 = 25.8° (answer rounded up to nearest tenth)