Chapter 8.3, Problem 39PPS

To determine

The height of bed h.

Answer to Problem 39PPS

The height of bed h when angle is 30 degrees will be:

  $s=7.5\text{feet}$

The height of bed h when angle is 45 degrees will be:

  $l=10.6\text{feet}$

The height of bed h when angle is 60 degrees will be:

  $l=13.0\text{feet}$

Explanation of Solution

Given:

Angle = 30, 40 and 60.

The given figure is:

Calculation:

The height of bed h when angle is 30 degrees will be:

  $\begin{array}{l}h=2s\\ 15=2s\\ s=\frac{15}{2}\\ s=7.5\text{feet}\end{array}$

The height of bed h when angle is 45 degrees will be:

  $\begin{array}{l}l\sqrt{2}=h\\ \sqrt{2}l=15\\ l=\frac{15}{\sqrt{2}}\\ l=10.6\text{feet}\end{array}$

The height of bed h when angle is 60 degrees will be:

  $\begin{array}{l}h=2s\\ 15=2s\\ s=\frac{15}{2}\\ s=7.5\\ and\\ l=\sqrt{3}s\\ l=\sqrt{3}\left(7.5\right)\\ l=13.0\text{feet}\end{array}$