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, [tex]Tan\theta = \frac{Perpendicular}{Base}[/tex]
Or, [tex]Tan12^{\circ} = \frac{Height}{40}[/tex]
Or, 0.212 = [tex]\frac{Height}{40}[/tex]
∴ Height = 40 × 0.212 = 8.48 m
Hence The height of house is 8.48 m Answer
