Chapter CSB1.11, Problem 3E

To determine

To find: the missing measure of following triangle:

  

Answer to Problem 3E

The value of x is $21.2\text{in}$ .

Explanation of Solution

Given:

The triangle is shown below:

  

Calculation:

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

  $\cos \theta =\frac{\text{Base}}{\text{hypotenuse}}$

Here, angle is 45 degree.

The value of x is calculated as follows:

  $\begin{array}{c}\cos 45°=\frac{\text{Base}}{\text{hypotenuse}}\\ 0.707106=\frac{15}{x}\\ x\approx 21.2\text{in}\end{array}$

Thus, the value of x is $21.2\text{in}$ .