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A kite is flying at a height of 60 m abo...

A kite is flying at a height of 60 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 `60o` . Find the length of the string, assuming that there is no sl

A

`20sqrt3`

B

`40sqrt3`

C

`60sqrt3`

D

`80sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
B
Let A be a kete at height of 60 m above the ground and AC be the string.
Given that `angleACB=60^(@)`
In `DeltaABC`
`sin60^(@)=60/(AC)rArrsqrt3/2=60/(AC)`
`rArr AC=120/sqrt3=40sqrt3m`
`:." Length of string "=40sqrt3m`
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