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Question 1 Some Applications Of Trigonometry Exercise 12.1

A ladder 15 metres long reaches the top of a vertical wall. If the ladder makes an angle of 60^{o} with the wall, find the height of the wall.

Answer:

**Solution:**

A common notion in trigonometry, specifically, is the angle of elevation, which has to do with height and distance. It is described as an angle formed by the horizontal plane and an oblique line between the observer's eye and a target above it.

Given,

The length of the ladder = 15m = AO

Angle made by the ladder with the wall = 60^{o}

Let the height of the wall be h metres.

And the horizontal ground taken as OX.

Then from the fig. we have,

In right ΔABO, using trigonometric ratios

cos (60^{o}) = AB/AO

1/2 = h/ 15

h = 15/2

h = 7.5m

**Hence, the height of the wall is 7.5m**

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