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.

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.

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vintechnology vintechnology · Answer 2 · 2022-02-21T14:46:10+01:00

The length of the shadow is 16.5 m

Right angle triangle:

Right angle triangle has one of its sides as 90 degrees.

The height of the building is the opposite side of the triangle.

The distance from the top of the building to the tip of the shadow is 36 m is the hypotenuse side.

The length of the shadow is the adjacent side of the triangle.

Therefore,

c² = a² + b²

b² = 36² - 32²

b² = 1296 - 1024

b² = 272

b = √272

b = 16.4924225025

b = 16. 5 m

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