Question

A ladder 10 m long reaches a window 8 m above the ground. The distance of the foot of the ladder from the base of the wall is ______ m.

Answer 1

A ladder 10 m long reaches a window 8 m above the ground. The distance of the foot of the ladder from the base of the wall is 6 m.

Explanation:

Let BC be the height of the window above the ground and AC be a ladder.

Here, BC = 8 cm and AC = 10 cm

∴ In right angled triangle ABC,

AC² = AB² + BC²   ...(By using pythogoras Theorem)

⇒ (10)² = AB² + (8)²

⇒ AB² = 100 – 64

⇒ AB² = 36

⇒ AB = 6 m