Question

A tree is broken at a height of 4cm from ground . Its top touches the ground at a distance of 3cm from the base of the tree. Find the Original height of tree​

Answer 1

Answer:

♫ Given :

A tree is broken at a height of 4 cm from the ground. Its top touches the ground at a distance of 3cm from the base of the tree

♫ To Find :

Original height of the tree

♫ Solution :

Observe attachment for entire scenario .

The whole scenario resembles right angled triangle where ,

Base (B) = 3 cm

Height (h) = 4 cm

Hypotenuse (H) = H cm

★ Apply Pythagoras theorem ,

➠ H² = B² + h²

➠ H² = 3² + 4²

➠ H² = 9 + 16

➠ H² = 25

➠ H = 5 cm \pink{\bigstar}★

Total height of the tree = height + Hypotenuse

= h + H

= 4 + 5

= 9 cm