Question

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

Answer 1

Answer: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.

Step-by-step explanation:

Answer 2

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.