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

Explanation

To find the distance of the foot of the ladder from the wall, we can use the Pythagorean theorem. The ladder, the wall, and the ground form a right triangle, where:

- The length of the ladder is the hypotenuse (c = 15 m).
- The height of the window is one leg of the triangle (a = 12 m).
- The distance from the wall to the foot of the ladder is the other leg of the triangle (b).

According to the Pythagorean theorem:

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