Chapter 8.5, Problem 11WE

To determine

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

  

Answer to Problem 11WE

  $y^{\circ }={27}^{\circ }$

Explanation of Solution

Given:

  

Calculation:

In the given triangle,

  $\begin{array}{l}\tan y^{\circ }=\frac{3}{\sqrt{34}}\\ \Rightarrow y^{\circ }={\tan }^{-1}\left(\frac{3}{\sqrt{34}}\right)\\ \Rightarrow y^{\circ }={27.2256}^{\circ }\\ \Rightarrow y^{\circ }\approx {27}^{\circ }\end{array}$