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?

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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