Based on shadow measurements, what is the approximate height (in meters) of the Statue of Liberty if a 5-meter pole casts a 2-meter shadow while its shadow measures 37 meters?

To determine the height of the Statue of Liberty using the given shadow measurements, we can apply the concept of similar triangles. The 5-meter pole and its shadow create a ratio that can be used to estimate the height of the Statue of Liberty, which casts a shadow of 37 meters.

The height-to-shadow length ratio for the pole is calculated as follows:

• The height of the pole is 5 meters.

• The shadow of the pole is 2 meters.

This gives us a ratio of height to shadow length for the pole:

5 meters / 2 meters = 2.5

Now we need to apply this ratio to the shadow of the Statue of Liberty. Let ( h ) represent the height of the Statue of Liberty. We can use the length of its shadow (37 meters) to set up the equation:

( h / 37 meters = 2.5 )

To find ( h ), we can rearrange this equation:

( h = 2.5 * 37 meters )

Now we perform the multiplication:

( h = 92.5 meters )

This estimated height corresponds to the range of heights associated with the choices provided. It fits within the bounds of 90 to 95 meters