Question

A boy who is 1.8 meters tall stands 1 meter away from a lamppost and casts a shadow 2 meters long. The height of the lamppost is meters.

Answer 1

Answer:

the height of the lamppost is 2.7 meters.

Step-by-step explanation:

Proportion states that two ratios or fractions are equal.

As per the statement:

A boy who is 1.8 meters tall stands 1 meter away from a lamppost and casts a shadow 2 meters long.

You can see the diagram as shown below.

by definition of proportion we have;

$\frac{\text{height of the boy}}{\text{Shadow of boy}}=\frac{\text{height of the lamppost}}{\text{Shadow of lamppost}}$

From the diagram:

height of the boy = 1.8 meter tall , shadow of the boy = 2 meter long, height of the lamppost = h meter and shadow of the lamppost = 1+2 = 3 meter

$\frac{1.8}{2}= \frac{h}{3}$

⇒$0.9 = \frac{h}{3}$

Multiply both sides by 3 we have;

2.7 = h

or

h = 2.7 meter

Therefore, the height of the lamppost is 2.7 meters.

Answer 2

The answer is 2.7 meters