# 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-

**cotq = 8/15**

Given-

Given-

Cot q = AB/75

8/15 = AB/75

AB = 8 x 5

AB = 40 m

AC = (AB

^{2}+ BC

^{2})

^{1/2}

AC = (75

^{2}+ 40

^{2})

^{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.