Chapter CSB1.10, Problem 1E

To determine

To find: the missing measure of following triangle:

  

Answer to Problem 1E

The value of x is $7.1\text{cm}$ .

Explanation of Solution

Given:

The triangle is shown below:

  

Calculation:

Tan of angle of any right angle triangle is expressed as follows:

  $\tan \theta =\frac{\text{Perpendicular}}{\text{Base}}$

Here, angle is 18 degree.

The value of x is calculated as follows:

  $\begin{array}{l}\tan 18°=\frac{\text{Perpendicular}}{\text{Base}}\\ 0.325=\frac{x}{22}\\ x\approx 7.1\text{cm}\end{array}$

Thus, the value of x is $7.1\text{cm}$ .