Question

A 17 m long ladder reached a window 15 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

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Answer 2

Given:

Length of the ladder = 17m

Height of the window = 15m

To Find:

The distance of the foot of the ladder from the wall

Solution:

The ladder, the wall and the window make a right-angled triangle.

And so we can apply hypotenuse formula here which is:

(side of the triangle)^2 + (side of the triangle)^2 = (hypotenuse)^2

Let the distance of the foot of the ladder from the wall be 'a'.

Here, the sides of the triangle are

• height of the window

• distance of the foot of the ladder

According to the formula,

a^2 + 15^2 = 17^2

a^2 = 289 - 225

a^2 = 64

a^2 = 8^2

a =8

Thus , the distance of the foot of the ladder from the wall is 8m.