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A kite is flying at a height of $30 m$ from the ground. The length of string from the kite to the ground is $60 m$ . Assuming that there is no slack in the string, what is the angle of elevation of the kite at the ground?

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45^{0}

30^{0}

60^{0}

90^{0}

answer is B.

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Detailed Solution

It is given that a kite is flying at a height of

30 m

from the ground.
The length of string from the kite to the ground is

60 m

.
Let

A

be a kite which is

30

m high from the ground which is flying with string of

60 m

long.
Let

∠ ACB = θ

From right angled △ ABC,

sinθ = \frac{AB}{AC}

⇒

sinθ = \frac{30}{60}

⇒

sinθ = \frac{1}{2}

⇒

sinθ = \sin 30^{0}

⇒

θ = 30^{0}

Hence, the correct option is 2.

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