Question

A bird sat 8 meters from the base of the tree , it flew in a straight line to reach the top of the tree, how tall is the tree? Round to the nearest hundredth

Answer 1

Height of the tree = 6 meters.

Explanation:

P.S - The exact question is -

The graph is as follows :

Here Base = 8 m , Hypotenuse = 10 m

As, we know that By Pythagoras theorem,

( Hypotenuse )² = ( Base )² + ( Perpendicular )²

⇒(10)² = (8)² + ( Perpendicular )²

Let the height of the tree = x

∴ we get

(10)² = (8)² + ( x )²

⇒100 = 64 + x²

⇒100 - 64 = x²

⇒36 = x²

⇒x = √36

⇒x = 6

∴ we get

Height of the tree = 6 meters.