Question

A woman whose eyes is 1.6 m above The ground find that the angle of elevation to the top of her house is 12°. If she is 40 m from the base of her house, how tall is her house?

Answer 1

The height of house is 8.48 m

Explanation:

Given as :

The angle of elevation to the top of house = 12°

The measure from base of house = 40 m

Let the height of house = h m

So,
`Tan\theta = (Perpendicular)/(Base)`

Or,
`Tan12^(\circ) = (Height)/(40)`

Or, 0.212 =
`(Height)/(40)`

∴ Height = 40 × 0.212 = 8.48 m

Hence The height of house is 8.48 m Answer