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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

A mountain is 90m high. A steel wire is tied at the top of mountain and is affixed at a point on the ground. If the steel wire makes an angle of 45° find the length of steel wire
Let AB is the mountain. B is the foot and A is the top of mountain. C is the point on the ground at which the angle of elevation is 45°

so we get
AC = ?
∠ BCA = 45° (angle of elevation)
AB = 90m

In the right △ ABC

We know that Sin θ = Opposite Side / Hypotenuse

 sin 45° = ABAC

 1   √ 2 = 90AC

AC = 90 x  2

Value of  2  is 1.41 so,

90 x 1.41 = 14.1

AC = 126.9m is the height

### Related Question Examples

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