Question

A straight tree is broken due to thunder storm. The broken part is bent in such a way that the peak of the tree touches the ground at an angle of 60 degree at a distance of 2root3m. Find the initial height of the tree.

Answer 1

Answer:

Step-by-step explanation:

Let Say initial height of tree = T  m

ket say x length is bent

=> remaining height = T - x  m

Tan 60  = (T - x)/2√3

=> √3 = (T - x)/2√3

=> T - x = 6

x²  = (T-x)² + (2√3)²

=> x² = 6²  + 12

=> x² = 48

=> x = 4√3

T = 6 + x

=> T = 6  + 4√3  m

if tree angle is with tree height

then Tan 60 = 2√3/(T - x)

=> T - x = 2

=> x² = 2² + (2√3)²

=>x  = 4

T = x + 2 => 4 + 2 = 6 m