Get Answers to all your Questions

header-bg qa

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

Answers (1)

Answer : [9 m]

height of street light bulb = 6 m

woman's height = 1.5 m

woman's shadow = 3m

Let the distance between pole and women = x m

Here\ CD\parallel AB

In\ \Delta CDE and \Delta ABE

\angle E=\angle E  \text{(common angle)}

\angle ABE=\angle CDE  (\text{ each angle 90}^0)

\therefore \Delta CDE\sim \Delta ABE\text{ (by AA similarity criterion)}  



\\\frac{3}{3+x}=\frac{1.5}{6}\\3 \times 6=1.5\left ( 3+x \right )\\18=4.5+1.5x\\18-4.5=1.5x


Posted by


View full answer