Question

A vertical stick 10 cm long casts a shadow 8 cm long. At the same time, a tower casts a shadow 30 cm 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 form the same angle in both the cases.

$\tan \theta =\frac{h}{30}$

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

$h=37.5cm$