Question

A tree 27 feet tall casts a shadow that is 13 feet long. Mrs. Thompson is 6 feet tall. How long is Mrs. Thompson's shadow? Round to the nearest tenth of a foot.

Answer 1

Based on the shadow cast by Mrs. Thompson, the length of her shadow can be calculated to be 2.9 feet long.

First find the shadow length per actual height:

= Length of shadow / Height of tree

= 13 / 27

= 0.481 feet per shadow

The shadow cast by Mrs. Thompson is therefore:

= Height of Mrs. Thompson x conversion factor

= 6 * 0.481

= 2.9 feet

In conclusion, her shadow will be 2.9 feet long.

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