Question

a tree of 14 m height is broken so that its top touches ground and makes an a 60 degeree.find the length of broken part of tree​

Answer 1

98 - 24√3 is your answer dear.

Explanation:

Let the length of broken part of the tree = 14 - x

For finding x

sin60° = √3/2 = x /14-x

14√3 - √3x = 2x

14√3 = 2x + √3x

14√3 = (2 + √3)x

x = 14√3/(2 + √3)x

after rationalisation

x = 24√3 - 84

substract it 14 - (24√3 - 84)

YOU'LL GET 98 - 24√3 WHICH IS YOUR ANSWER.