# Find The Length of The String ? If

A kite is flying at the height of 75 m from the ground. The string makes an angle θ[where cotθ = 8/15] with the level ground. Assuming that there is no slack in the string, the length of the string is equal to:

1. 85 m
2. 75 m
3. 40 m
4. 65 m
Abdul Salam Newbie Asked on 22nd August 2015 in

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Explanation:-
Let the length of the kite be X m.
In the triangle ABC-

Given-
cotq = 8/15
Cot q = AB/75
8/15 = AB/75
AB = 8 x 5
AB = 40 m
AC = (AB2 + BC2)1/2
AC = (752 + 402)1/2
AC = (5625 + 1600)1/2
AC = (7225)1/2
AC = 85 m
AC= X = 85 m
Then, the length of the string is 85 m.
Hence, the answer is (1) 85 m.

Anurag Mishra Professor Answered on 28th August 2015.