The angle of elevation of a building from a measuring instrument placed on the ground is 30o. If the building is 40m high, how far is the instrument from th...

The angle of elevation of a building from a measuring instrument placed on the ground is 30o. If the building is 40m high, how far is the instrument from the foot of the building?

Answer Details

$\frac{40}{x}$ = tan 30o
x = $\frac{40}{tan36}$
= $\frac{40}{1\sqrt{3}}$
= 40√3m