Question

A vertical stick 10cm long casts a shadow 8cm long where as a tower casts 30m. Find the height of tower(in m).

• A. 37.5

Answer 1

The correct option is A 37.5

tan $\theta$ = $\frac{10}{8}$ = $\frac{5}{4}$



As both the shadows are formed at the same time, the sun rays forms the same angle in both the cases.
tan $\theta$ = $\frac{h}{30}$

$\frac{5}{4}$ = $\frac{h}{30}$

h = 37.5m