Question

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?

Answer 1

The flag pole is $8.75 \: m$ or write it as $9 \: m$ 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,

$\frac{1.4}{p} = \frac{1.2}{7.5}$

Now, Cross multiply :-

$1.2 \times p = 1.4 \times 7.5$

→ $1.2 \times p = 10.5$

→ $p = \frac{10.5}{1.2}$

→ $p = 8.75$

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

So, the flag pole is 9 metres tall.