Q2 of 168 Page 5

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


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