Question

A ladder is placed in such a way that its foot is a distance of 10 m from the wall. If it reaches a window at a height of 24 m, find the length of the ladder.

Answer 1

Given,

A ladder is placed in such a way that its foot is a distance of 10 m from the wall. If it reaches a window at a height of 24 m.

Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

⇒ (Hypotenuse)² = (base)² + (height)²

⇒ (Hypotenuse)² = 10² + 24²

⇒ (Hypotenuse)² = 100 + 576 = 676

⇒ Hypotenuse = `sqrt(676)` = 26 m

Hence, this is required.