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A 32-m tall building casts a shadow the distance from the top of the building to the tip of the shadow is 34 m find the length of the shadow
Question
A 32-m tall building casts a shadow the distance from the top of the building to the tip of the shadow is 34 m find the length of the shadow if necessary round your answer to the nearest tenth
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Mathematics
1 year
2021-08-20T17:26:54+00:00
2021-08-20T17:26:54+00:00 2 Answers
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Answer:
Step-by-step explanation:
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.