Question

A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The ladder reaches a height of 15 ft on the wall. Find to the nearest degree the angle the ladder makes with the wall.

Answer 1

Answer:

The angle the ladder makes with the wall is equal to $22\°$

Step-by-step explanation:

Let

x-------> the angle the ladder makes with the wall

see the attached figure to better understand the problem

we know that

In the right triangle ABC

$tan(x)=\frac{AB}{BC}$

we have

$AB=6\ ft$

$BC=15\ ft$

substitute

$tan(x)=\frac{6}{15}$

$x=arctan(\frac{6}{15})=22\°$