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A child that is 1.4 meters tall is standing next to a flagpole. The child's shadow is 1.2 meters long. At the same time, the shadow of the flagpole is 7.5 meters long. How tall is the flag pole?

User Kramer
by
6.9k points

1 Answer

7 votes

The flag pole is
8.75 \: m or write it as
9 \: m tall.

Explanation:

Let "p" be the height of the flag pole.

The ratio of the child height to the pole height is the same as the ratios of their respective shadows, so,


(1.4)/(p) = (1.2)/(7.5)

Now, Cross multiply :-


1.2 * p = 1.4 * 7.5


1.2 * p = 10.5


p = (10.5)/(1.2)


p = 8.75

This
8.75 can be rounded off to
9 as it ends with
.75

So, the flag pole is 9 metres tall.

User Ordonezalex
by
7.3k points