Question

7) A student lets out 100 feet of string on a kite. He is holding the string to the kite at a height of 3 feet. The angle between horizontal hand height and the kite is 25 degrees. Find the height of the kite above the ground, to the nearest foot.

Answer 1

Answer:

45 ft

Explanation:

• The length of the string = 100 ft

,

• The angle between horizontal hand height and the kite = 25 degrees.

,

• The height of the student = 3 feet.

The diagram representing this problem is drawn and attached below:

We solve for x in the diagram above.

$\begin{gathered} \sin 25=\frac{x}{100} \\ x=100\times\sin 25 \\ x=42.3ft \end{gathered}$

Therefore, the height of the kite above the ground will be:

$\begin{gathered} =42.3+3 \\ =45.3 \\ \approx45ft(to\text{ the nearest ft)} \end{gathered}$