A lamp post stands on a horizontal plane. From a point situated at a distance 150 m from its foot, the angle of elevation of the top is `30^(@)`. What is the height of the lamp post?

Options

A. 50m
B. `50sqrt(3)m`
C. `(50)/(sqrt(3))m`
D. 100m

Answer

B

Explanation

In `DeltaABC`, we have BC=150m, AB=h
`angleC=30^(@)`

`tan 30^(@)=(h)/(150)`
`rArr (1)/(sqrt(3))=(h)/(150)`
`:. H = (150)/(sqrt(3))m`
`=(150xxsqrt(3))/(3)=50sqrt(3)m`