Question

Supriya is standing in the Sun close to a lamp post. Supriya is 5 feet tall and her shadow is 2 feet long. The shadow of the lamp post is 8 feet long. How tall is the lamp post ?

• A. 25ft
• B. 18ft
• C. 16ft
• D. 14ft

Answer 1

The correct option is A 25ft

R.E.F image

In $\Delta ABE$ and $\Delta CDE$

$\angle B=\angle D={90}^{\circ }$

$\angle E=\angle E$

$\therefore \Delta ABC\sim \Delta CDE$

Therefore, $\frac{AB}{CD}=\frac{BE}{DE}$

$\therefore \frac{AB}{5}=\frac{10}{2}$

$AB=25fts$

$Heightoflamppost=25ft$