Chapter 8.5, Problem 12WE

To determine

To find the value of $\angle y^{\circ }$ .

Answer to Problem 12WE

  $\angle y={56}^{\circ }$

Explanation of Solution

Given information:

The followingright-angle triangle provided

  

Since base $=2$ and hypotenuse $=\sqrt{13}$

  $\begin{array}{l}\Rightarrow \cos x=\frac{\text{base}}{\text{hypotenuse}}\\ \Rightarrow \cos x=\frac{2}{\sqrt{13}}\\ \Rightarrow x={\cos }^{-1}\left(\frac{2}{\sqrt{13}}\right)\\ \therefore x={56.3099}^{\circ }\end{array}$

Hence, thevalue of $\angle y={56}^{\circ }$