Chapter SH, Problem 12.1EP

To determine

To find: The value of $x$ .

Answer to Problem 12.1EP

The value of $x$ is $6.5$ .

Explanation of Solution

Given:

The given figure is as follows.

  

Calculation:

The length of the hypotenuse is 8. The missing measure is for the side adjacent to $35°$ angle. Use the cosine function to find $x$ .

  $\begin{array}{c}\cos \theta =\frac{\text{adj}}{\text{hyp}}\\ \cos 35°=\frac{x}{8}\\ x=8\cos 35°\\ \approx 6.5\end{array}$

Therefore, the value of $x$ is $6.5$ .