Question

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

Answer 1

Length of stick = 10 cm

Length of shadow of stick = 8 cm

Length of shadow of tower = h cm

In ΔABC and ΔPQR

∠B = ∠Q = 90°

And, ∠C = ∠R [Angular elevation of sun]

Then, ΔABC ~ ΔPQR [By AA similarity]

`therefore"AB"/"PQ"="BC"/"QR"`

`rArr"10 cm"/"8 cm"="h cm"/3000`

`rArrh=10/8xx3000=3750 ` cm = 37.5 m