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

Answer:

The height of house is 8.48 m

Step-by-step 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, $Tan\theta = \frac{Perpendicular}{Base}$

Or,  $Tan12^{\circ} = \frac{Height}{40}$

Or, 0.212 = $\frac{Height}{40}$

∴   Height = 40 × 0.212 = 8.48 m

Hence The height of house is 8.48 m    Answer