Question

A man is lying on the beach, flying a kite. He holds the end of the kite string at ground level and estimates the angle of elevation of the kite to be 65°. If the string is 350 ft long, how high is the kite above the ground? (Round your answer to the nearest foot.) ft

Answer 1

Answer: $317.2\ ft$

Step-by-step explanation:

Given

Angle of elevation $\theta=65^{\circ}$

Length of string $L=350\ ft$

Suppose the height of kite from the ground level is h

from the figure, we can write

$\Rightarrow \sin \theta=\dfrac{h}{L}\\\\\Rightarrow \sin 65^{\circ}=\dfrac{h}{350}\\\\\Rightarrow h=350\sin 65^{\circ}\\\Rightarrow h=317.2\ ft$