One pair of corresponding sides of two similar polygons measures 12 and 15. The perimeter of the smaller polygon is 30. Find the
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Answer:
4.0 meters, ∠C = 39°, ∠A = 51°
Step-by-step explanation:
Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the <em>Pythagorean Theorem</em> to solve for the height of the chain:
Now, we can use the <em>Law of Cosines</em> to figure out one of the acute angles:
∠C = 39°
And since we know that all angles in a triangle add up to 180°:
∠A + ∠B + ∠C = 180
∠A + 90 + 39 = 180
∠A = 180 - 90 - 39
∠A = 51°
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