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A kite is flying at a height of 30m from...

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

A

`45^(@)`

B

`30^(@)`

C

`60^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Let AB be the string and B be the kite.
Let AC be the horizontal and let `BC _|_ AC`.
Let `angleCAB = theta`,
`BC = 30 m` and `AB = 60 m`. Then,
`(BC)/(AB) = sin theta rArr sin theta = (30)/(60) = 1/2 rArr sin theta = sin 30^(@) rArr theta = 30^(@)`.
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