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:
- 85 m
- 75 m
- 40 m
- 65 m
Answer: (1) 85 m
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.
