Question

2. A 30 m long ladder is leaned against the top of the pole. If the bottom of ladder is
24 m away from the base of the pole on the ground, what is the height of the pole?
(1) 20 m (2) 18 m (3) 28 m (4) 15 m​

Answer 1

Given:-

• A 30 m long ladder is leaned against the top of the pole. If the bottom of ladder is
• 24 m away from the base of the pole on the ground.

⠀

To find:-

• Height of the pole.

⠀

Solution:-

According to the question,

⇛ h² = p² + b²

⇛ p = √h² - b²

⇛ √30² - 24²

⇛ √900 - 576

⇛ √324

⇛ 18 m

⠀

Hence,

• the height of the pole is 18 m.

⠀

Therefore,

• Option (2) is correct.