Question

11. The foot of a ladder is 6 m away from a wall and its top reaches a window 8 m above the
ground. What is the length of the ladder?​

Answer 1

Answer:

We can solve this by using Pythagoras theorem.

Answer 2

In the given figure,

• AC = Height of ladder
• AB is the height of window from ground
• BC = Distance from wall to foot of the ladder.

∠ABC is a right angle

⇒ ∠ABC = 90°

Applying Pythagoras Theorem,

AC² = AB² + BC²

⇒ AC² = 8² + 6²

⇒ AC² = 64 + 36

⇒ AC² = 100

⇒ AC = √100

⇒ AC = ±10

Side cannot be negative.

∴ AC = 10 m

Height of ladder = AC = 10 m

Additional Information:

1. Pythagoras theorem was discovered by Pythagoras. This theorem serves as a base for trigonometric identities.
2. This theorem can be proved by the concept of Similar triangles.