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Question

A kite is flying at a height of 60m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60o. Find the length of the string assuming that there is no slack in the spring.

A
l=602m
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B
l=402m
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C
l=202m
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D
None of these
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Solution

The correct option is D None of these
P is the position of the kite. Its height from the point Q (on the ground)=PQ=60m

Let OP=l be the length of the string
POQ=60o (given)

sin(Θ)=OppositeHypotenuse
Now, PQOP=sin60o
60l=sin60o=32
60l=32

l=3×2×203m
l=403m

The length of the string is 403 m


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