Chapter 8.3, Problem 3BCYP

To determine

The value of x and y.

Answer to Problem 3BCYP

  $y=5\sqrt{3}$

  $x=5$

Explanation of Solution

Given:

The given figure is:

Calculation:

The value of y will be:

  $\begin{array}{l}\sin 60=\frac{P}{H}\\ \sin 60=\frac{y}{10}\\ y=10\sin 60\\ y=10\left(\frac{\sqrt{3}}{2}\right)\\ y=5\sqrt{3}\end{array}$

The value of x will be: $\begin{array}{l}\cos 60=\frac{B}{H}\\ \cos 60=\frac{x}{10}\\ x=10\cos 60\\ x=10\left(\frac{1}{2}\right)\\ x=5\end{array}$