Chapter 8.3, Problem 6CYU

To determine

The value of x and y.

Answer to Problem 6CYU

  $y=13.86$

  $x=6.94$

Explanation of Solution

Given:

The given figure is:

Calculation:

The value of y will be:

  $\begin{array}{l}\sin 60=\frac{P}{H}\\ \sin 60=\frac{12}{y}\\ y=\frac{12}{\sin 60}\\ y=\frac{12}{0.866}\\ y=13.86\end{array}$

The value of x will be: $\begin{array}{l}\tan 60=\frac{P}{B}\\ \tan 60=\frac{12}{x}\\ x=\frac{12}{\tan 60}\\ x=\frac{12}{1.73}\\ x=6.94\end{array}$