The shadow of a 3m long stick is 4m long. At the same time of the day, if the shadow of a flagstaff is 24m long, how tall is the flagstaff?



The ratio of shadow to the height would remain the same


When height is 3 m the shadow is 4 m


ratio = = …(i)


When shadow is 24 m let the height be ‘a’ m


ratio = =


Using (i)


=


Cross multiplying


24 × 3 = 4 × a


a = = 6 × 3


a = 18


Height of the flagstaff is 18 m


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