Chapter MPS, Problem 14.8MPS

To determine

Find the measure of the angle.

Answer to Problem 14.8MPS

  $60°$

Explanation of Solution

Given information:

A ladder is leaning against the wall. What is the measure of the angle $A$ that the ladder makes with the ground?

  

Calculation:

Consider the figure;

  

Use the definition of the sine ratio for the above triangle $\Delta ABC$ ,

  $\begin{array}{l}\cos A=\frac{AB}{AC}\\ \cos A=\frac{3}{6}\\ \cos A=\frac{1}{2}\\ A=60°\end{array}$

Hence, the measure of the angle $A$ is $60°$ .