Question

Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a stringthat is 18 feet long and makes a 30 degree angle with the ground. How high is the kite?

Answer 1

ANSWER:

9 feet

STEP-BY-STEP EXPLANATION:

We can calculate the value of the height of the kite by means of the trigonometric function sine, which is the following:

$\begin{gathered} \sin \theta=\frac{\text{opposite}}{\text{hypotenuse}} \\ \theta=30\text{\degree} \\ \text{hypotenuse = 18} \\ \text{opposite }=x \end{gathered}$

Replacing and solving for x:

$\begin{gathered} \sin 30=\frac{x}{18} \\ x=\sin 30\cdot18 \\ x=9 \end{gathered}$

The height of the kite is 9 feet