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.

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Solution

By applying Pythagoras theorem,

(15)² = (12)² + a²

225 = 144 + a²

a² = 225 − 144 = 81

a = 9 m

Therefore, the distance of the foot of the ladder from the wall is 9 m.

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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.

By applying Pythagoras theorem, (15)2 = (12)2 + a2 225 = 144 + a2 a2 = 225 − 144 = 81 a = 9 m Therefore, the distance of the foot of the ladder from the wall is 9 m.

By applying Pythagoras theorem,

(15)² = (12)² + a²

225 = 144 + a²

a² = 225 − 144 = 81

a = 9 m

Therefore, the distance of the foot of the ladder from the wall is 9 m.