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To the nearest hundredth of a centimeter, what is the length of a leg of the triangle?

To the nearest hundredth of a centimeter, what is the length of a leg of the triangle-example-1

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Solution

Using trigonometry,

sin(¤) = length of side opposite of the angle÷length of the hypotenuse.

sin(45) = x/52.3

x = 52.3×sin(45)

Answer

x = 36.98 cm

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