Question

a tree is broken by wind. the top struck the ground at an angle of 30 and at a distance of 30m from the root. find the height of the whole tree.

Answer 1

You can put √3 =1.732 if given

we have found the height using sin 30 and tan 30

Answer 2

height of the whole tree. = 30√3  = 51.9 m

Step-by-step explanation:

Let say initial Height of Tree = T m

Let say it Broken at x  m height

Then length of broken part = T - x  m

Broken part make an angle of 30° with ground

and touch 30 m away from root

Tan 30  = x / 30

=> 1/√3 = x/30

=> x = 10√3

(T - x)²  = x²  +  30²

=> ( T - 10√3)² = (10√3)² + 900

=>  ( T - 10√3)² = 300 + 900

=> ( T - 10√3)² = 1200

=>  ( T - 10√3) = 20√3

=> T = 30√3  = 51.9 m

height of the whole tree. = 30√3  = 51.9 m

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