A vertical stick 10 cm long casts a shadow 8 cm long. At the same time a tower casts a shadow 30 m long. Determine the height of the tower.
Length of stick = 10cm
Length of shadow stick= 8cm
Length of shadow of tower = hcm
In ΔABC and ΔPQR
<B = <C = 90° And <C = <R (Angular elevation of sum)
Then ΔABC ~ ΔPQR (By AA similarty)
So,
Or =
Or h= x 3000
Or 3750cm
Or 37.5m