Question

A street light bulb is fixed on a pole 6m above the level of the street. If a woman of height 1.5m casts a shadow of 3m , find how far is she away from the base of the pole.

Answer 1

Let,∠BCA=θ
From  ΔEDC
tanθ=ED/CD
or, tanθ=1.5/3
or, tanθ=1/2
From ΔABC,
tanθ=BA/CA
or, 1/2=6/x+3
or, x+3=12
or, x=12-3
or, x=9 m
∴, She is 9m away from the base of the pole.

Answer 2

This is the answer for the above question