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One of the angles in a right triangle is , the side adjacent to the angle has a length 31.0 m .
Find the length of the hypotenuse of the triangle:
Find the length of the side opposite to
Express your answers with the correct number of sifnificant figures.

Ask by Williams Bradley. in the United States
Jan 20,2025

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Answer

  • Hypotenuse: 112 m
  • Opposite Side: 108 m

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Bonus Knowledge

To find the length of the hypotenuse in a right triangle where and the length of the adjacent side , we can use the cosine function:
Rearranging gives:
Thus, the length of the hypotenuse is approximately when rounded to three significant figures.
Next, to find the length of the side opposite (let’s call it ), we can use the sine function:
We already calculated . Rearranging gives:
So, the length of the side opposite is approximately when rounded to three significant figures.

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