Question : A kite is flying at a height of 50 metres. If the length of the string is 100 metres, then the inclination of the string to the horizontal ground in degree measure is:
Option 1: 90°
Option 2: 60°
Option 3: 45°
Option 4: 30°
Correct Answer: 30°
Solution :
Given: A kite is flying at a height of 50 metres.
The length of the string is 100 metres.
We know that $\sin\theta=\frac{\text{perpendicular}}{\text{hypotenuse}}$
$\text{Hypotenuse}$ = 100 m
$\text{Perpendicular}$ = 50 m
⇒ $\sin\theta=\frac{50}{100}$
⇒ $\sin\theta=\frac{1}{2}$
⇒ $\sin\theta=\sin30°$
⇒ $\theta=30°$
Hence, the correct answer is 30°.
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