Question 62

The length of a ladder is exactly equal to the height of the wall it is leaning against. If the lower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m away from the wall, the upper end of the ladder coincides with the top of the wall. Then the height of the wall is

Solution

Let the length of the ladder and the wall be x.

So, By pythagoras theorem,

x^2 = (x-3)^2 + 9^2

Solving, we get

x = 15 m.

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