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?
37.5 cm
The above figure represents vertical stick of 10 cm and shadow cast by it. So,
tanθ=108=54
The second figure represents a tower that casts a shodow of 30 cm long.
As both the shadows are formed at the same time, the sun rays forms the same angle in both the cases.
tanθ=h30
54=h30
h = 37.5 cm