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Question

A ladder is placed along a wall of a house such that its upper end is touching the top of the wall. The foot of the ladder is 2 m away from the wall and the ladder is making an angle of 60 with the level of the ground. Determine the height of the wall.

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Solution

Let AB be the wall of height h m and C be the points, makes an angle 60° and foot of the ladder is 2m away from the wall. We have to find height of wall

In a triangle ABC, given that BC = 2m and angle C = 60°

Now we have to find the height of wall.

So we use trigonometrically ratios.

In a triangle ABC,

tanC=ABBC

tan60=h2

3=h2

h=23

Hence height of wall is 23 meters.


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