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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?

Sagot :

The flag pole is [tex]8.75 \: m[/tex] or write it as [tex]9 \: m[/tex] tall.

Step-by-step 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,

[tex] \frac{1.4}{p} = \frac{1.2}{7.5} [/tex]

Now, Cross multiply :-

[tex]1.2 \times p = 1.4 \times 7.5[/tex]

→ [tex]1.2 \times p = 10.5[/tex]

→ [tex]p = \frac{10.5}{1.2} [/tex]

→ [tex]p = 8.75[/tex]

This [tex]8.75[/tex] can be rounded off to [tex]9[/tex] as it ends with [tex].75[/tex]

So, the flag pole is 9 metres tall.

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