Chapter 8.5, Problem 5WE

To determine

To find the value of $x$ in the triangle shown below.

  

Answer to Problem 5WE

  $x=55.4$

Explanation of Solution

Given:

  

Calculation:

In the given triangle,

  $\begin{array}{l}\tan {61}^{\circ }=\frac{100}{x}\\ \Rightarrow x=\frac{100}{\tan {61}^{\circ }}\\ \Rightarrow x=55.43\\ \Rightarrow x\approx 55.4\end{array}$