Answer:
The correct option is (b).
Step-by-step explanation:
Given that,
The length of the string = 39 m
The kite is level with the top of a building that is 24 meters high.
We need to find the angle of elevation of the kite.
A right-angled triangle will form such that its hypotenuse is 39 m and height is 24 m. Using trigonometry to solve this.
[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{24}{39}\\\\\theta=\sin^{-1}\left(0.61538\right)\\\\\theta=37.98^{\circ}[/tex]
So, the angle of elevation of the kite is 37.97°. The correct option is (b).