Question

15m high tree breaks at a height of 5m from the ground find the angle made by broken tree with ground​

Answer 1

$\huge{\text{\underline{Correct\:Question:-}}}$

A tree is broken at the height of 5m from the ground and its top touches the ground at a distance of 12m from the Base of the tree. Find the original height of the tree.

$\huge{\text{\underline{Solution:-}}}$

Let A’CB be the tree before it broken at the point C.

Let the top A’ touches the ground at A after it broke.

Then ΔABC is a right angled triangle, at B.

Given:-

• AB = 12 m
• BC = 5 m

Using Pythagoras theorem,

In ΔABC,

(AC)² = (AB)² + (BC)²

(AC)² = (12)² + (5)²

(AC)² = 144 + 25

(AC)² = 169

AC = √169

$\large{\boxed{\text{AC = 13 m}}}$

Hence, the total height of the tree (A’B) = A’C + CB = 13 + 5 = 18 m.