Chapter SH, Problem 12.2EP

To determine

To find: The value of $x$ .

Answer to Problem 12.2EP

The value of $x$ is $6.1$ .

Explanation of Solution

Given:

The given figure is as follows.

  

Calculation:

The length of the hypotenuse is not given. The missing measure is for the side opposite to $27°$ angle. Use the tan function to find $x$ .

  $\begin{array}{c}\tan \theta =\frac{\text{opp}}{\text{adj}}\\ \tan 27°=\frac{x}{12}\\ x=12\tan 27°\\ \approx 6.1\end{array}$

Therefore, the value of $x$ is $6.1$ .