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Home >> Trigonometry Ratios >> Find Height, Distance using T - Ratios >> Angle of Elevation >> Examples

## Angle of Elevation and find Height & Distance : Solved Examples

 Angle of Elevation Angle of Depression

At a point 20m away from the foot of a building, the angle of elevation of the top of building is 30° find the height of building
Let AB is the building. B is the foot and A is the top of building. C is the point on the ground at which the angle of elevation is 30°

so we get
CB = 20m
∠BCA = 30°
AB = ?

In the right △ ABC

We know that Tan θ = Opposite Side / Adjacent Side

 tan 30° = ABBC

 1  √ 3 = AB20

By cross multiplying we get:

3  AB = 20

 AB = 20  √ 3

Now we will rationalize it

 AB = 20  √ 3 x √ 3 √ 3

 20 x √ 3       3

Value of  3  is 1.73 so,

 20 x 1.73       3

 34.60     3

AB = 11.53m is the height

### Related Question Examples

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