Question

A ladder 13 m long is placed on the ground in such a way that it touches the top of a vertical wall 12 m high. Find the distance of the foot of the ladder from the bottom of the wall.

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Answer 1

Step-by-step explanation:

Question:

A ladder 13 m long is placed on the ground in such a way that it touches the top of a vertical wall 12 m high. Find the distance of the foot of the ladder from the bottom of the wall.

Solution:

For this question, we will use Pythagoras Theorem.

• 13 m ladder is the hypotenuse.
• 12 m wall is the perpendicular.

Let the base be x.

Formula of pythagoras theoram is :

⇒h² = p² + b²

According to the question,

⇒ 13² = 12² + x²

⇒ 169 = 144 + x²

⇒ 169 - 144 = x²

⇒ 25 = x²

⇒ √25 = x

⇒ 5 = x

∴ The distance of the foot of the ladder from the bottom of the wall is 5 m.