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Question

A flagstaff 17.5 m high casts a shadow of length 40.25 m. What is the height of the building which casts a shadow of length 28.75 m under similar conditions?

hintHint:

Hint:
Unitary methods: The unitary method is a method in which we find the value of a unit and then the value of a required number of units. For example, If 10 apples cost is 100 rupees, 1 apple will cost 10 rupees and if we are asked to find the cost of 100 apples, we can find it by multiplying 100 with cost of 1 apple.

The correct answer is: 12.5 m


    The length of the shadow increases with the length of the object so we can say the length of the shadow is directly proportional to the length of the object.
    Given, the height of flagstaff making a 40.25 m shadow = 17.5 m
    So, the height of a building making a shadow of 28.75 m fraction numerator 17.5 over denominator 40.25 end fraction cross times 28.75
    Final Answer:
    Hence, the height of the building which casts a shadow of length 28.75 m is 12.5 m

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