Chapter 8.5, Problem 8WE

To determine

To find the value of $y^{\circ }$ in the triangle shown below.

  

Answer to Problem 8WE

  $y^{\circ }={28}^{\circ }$

Explanation of Solution

Given:

  

Calculation:

In the given triangle,

  $\begin{array}{l}\tan y^{\circ }=\frac{8}{15}\\ \Rightarrow y^{\circ }={\tan }^{-1}\left(\frac{8}{15}\right)\\ \Rightarrow y^{\circ }={28.07}^{\circ }\\ \Rightarrow y^{\circ }\approx {28}^{\circ }\end{array}$