A 32-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 36 m. Find the length of the shadow. If necessary, round your answer to the nearest tenth.

Question

Libby Cohen

Mathematics

27 April, 01:49

A 32-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 36 m. Find the length of the shadow. If necessary, round your answer to the nearest tenth.

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Answers (1)

Know the Answer?

Presley Lynch · Answer 1

You can find this answer by simply doing the reverse of the Pythagorean Theorem. The formula for Pythagorean Theorem is a^2+b^2=c^2, so the reverse would be b^2=c^2-a^2. All we have to do is substitute in the numbers and solve.

b^2=c^2-a^2

b^2=36^2-32^2

b^2=272

sqrt (b^2) sqrt (272)

b=16.492

Since we are rounding to the nearest tenth, our answer will be 16.5 meters.