Question

21. A 15 m long ladder reached a window 12 m high from the ground on placing it
against a wall at a distance a. Find the distance of the foot of the ladder from the
wall.​

Answer 1

Answer:

9m

Step-by-step explanation:

This is based on the Pythagoras theorem.

Hypotenuse² = Side1² + Side2²

Hypotenuse is the longest side of a Right Angled Triangle. Hypotenuse is always opposite to the 90° angle of a Right Angled Triangle.

Hypotenuse = 15m

Side1 = 12m

Let Side2 = x metres

Then the equation will be:-

15² = 12² + x²

225 = 144 + x²

225 - 144 = x²

81 = x²

x² = 81

x = √81

x = 9

Hence, the distance of the foot of the ladder from the wall is 9 metres.

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