Question

A 15 foot ladder leans against the side of a house. The bottom of the ladder is 6 feet away from the side of the house. Find , the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.

Answer 1

Answer: $66.42^{\circ}$

Step-by-step explanation:

Given

Length of the ladder is $L=15\ ft$

Bottom of the ladder is $6\ ft$ away from the side of the house.

Suppose, ladder is leaning against the wall with angle of elevation $\theta$

from the figure, we can write

$\Rightarrow \cos \theta=\dfrac{6}{15}\\\\\Rightarrow \cos \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=66.42^{\circ}$

Thus, the angle of elevation is $66.42^{\circ}$