Question

A vertical stick 10cm long casts a shadow 8cm long. At the same time, a tower casts a shadow 30m long. Determine the height of the tower?

• A. 65m
• B. 75m
• C. 62.5m
• D. 100m

Answer 1

The correct option is C

62.5m

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