Chapter 9, Problem 17CT

To determine

To find the height of the building.

Answer to Problem 17CT

The height of the building is $178.5$ ft.

Explanation of Solution

Given:

The given figure is-

  

Calculation:

Applying the sine trigonometric ratio to find the height of the building as follows-

  $\begin{array}{l}\sin {60}^{\circ }=\frac{x}{200}\\ x=200\sin {60}^{\circ }\\ x=\frac{200\sqrt{3}}{2}\\ x=100\sqrt{3}\\ x=173.2\end{array}$

So the height of the building will be $x+5=173.2+5=178.5$ ft.