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.
[tex]\begin{gathered} \sin 25=\frac{x}{100} \\ x=100\times\sin 25 \\ x=42.3ft \end{gathered}[/tex]
Therefore, the height of the kite above the ground will be:
[tex]\begin{gathered} =42.3+3 \\ =45.3 \\ \approx45ft(to\text{ the nearest ft)} \end{gathered}[/tex]
