Chapter 8.7, Problem 3WE

To determine

To find: the height of the kite.

Answer to Problem 3WE

The length of the string is 51.42 m.

Explanation of Solution

Given:

The angle of elevation is $40°$ .

Length of the string is 80 m.

Calculation:

Kite with the angle of elevation is shown below:

  

Here, position of A is kite and AC is the string.

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

  $\begin{array}{l}\sin \angle ACB=\frac{AB}{AC}\\ \sin 40°=\frac{AB}{80}\\ AB=51.42\text{m}\end{array}$

Thus, the length of the string is 51.42 m.