Chapter 8.6, Problem 8WE

To determine

To find the value of $x$ by using the triangle shown below.

  

Answer to Problem 8WE

  $x={67}^{\circ }$ .

Explanation of Solution

Given:

  

Calculation:

In the given triangle,

  $\begin{array}{l}\cos x^{\circ }=\frac{11}{28}\\ \Rightarrow x^{\circ }={\cos }^{-1}\left(\frac{11}{28}\right)\\ \Rightarrow x^{\circ }={66.8676}^{\circ }\\ \Rightarrow x^{\circ }={67}^{\circ }\end{array}$