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Question

# A kite is flying at a height of 30 m 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 60∘. Find the length of the string, assuming that there is no slack in the string.

A

203 m

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B

30 m

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C

303 m

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D

60 m

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Solution

## The correct option is A 20√3 m The situation can be represented by the figure below: In the given right-angled triangle: sin(∠ACB)=ABAC ⇒sin60∘=ABAC ⇒AC=ABsin60∘=30√32=60√3=20√3 ∴ Length of the string is 20√3 m.

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