Chapter 8.6, Problem 2WE

To determine

To find the values of $x$ and $y$ by using the triangle shown below.

  

Answer to Problem 2WE

  $x=102\&y=64$ .

Explanation of Solution

Given:

  

Calculation:

In the given triangle,

  $\begin{array}{l}\sin {58}^{\circ }=\frac{x}{120}\\ \Rightarrow x=120\cdot \sin {58}^{\circ }\\ \Rightarrow x=101.7657\\ \Rightarrow x\approx 102\end{array}$

&

  $\begin{array}{l}\cos {58}^{\circ }=\frac{y}{120}\\ \Rightarrow y=120\cdot \cos {58}^{\circ }\\ \Rightarrow y=63.5903\\ \Rightarrow y\approx 64\end{array}$