Chapter 8.5, Problem 3WE

To determine

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

  

Answer to Problem 3WE

  $x=48.3$

Explanation of Solution

Given:

  

Calculation:

In the given triangle,

  $\begin{array}{l}\tan {44}^{\circ }=\frac{x}{50}\\ \Rightarrow x=50\cdot \tan {44}^{\circ }\\ \Rightarrow x=48.2844\\ \Rightarrow x\approx 48.3\end{array}$