A vertical stick 10 cm long casts a shadow 8 cm long. At the same time, a tower

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?

Options:

A . 65 cm

B . 75 cm

C . 37.5 cm

D . 100 cm

Answer: Option C
:
C

$tan θ = \frac{10}{8} = \frac{5}{4}$

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

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

h = 37.5 cm

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