Chapter 8.7, Problem 5WE

To determine

To find: the height of rocket.

Answer to Problem 5WE

The height of Rocket is 2.34 km.

Explanation of Solution

Given:

The angle of elevation is $38°$ .

Distance from rocket to observer is 3 km.

Calculation:

Rocket with the angle of elevation is shown below:

  

Here, position of A is Rocket and BC is the distance between rocket and observer.

Take tan of angle $\angle ACB$ as follows:

  $\begin{array}{l}\tan \angle ACB=\frac{AB}{BC}\\ \tan 38°=\frac{AB}{3}\\ AB=2.34\text{km}\end{array}$

Thus, the height of Rocket is 2.34 km.