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26 February, 08:14

What is the value of y?

Triangle A B C has right angle C with hypotenuse labeled 8. Angle A is 60 degrees and its opposite side B C is labeled y.

Enter your answer, as an exact value, in the box.

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Answers (1)
  1. 26 February, 09:18
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    Answer: y=4√3≈6.93

    Step-by-step explanation:

    We know that:

    You know that the triangle is a right triangle and you also know the measure of the hypotenuse. Therefore, you must calculate the opposite side y as following:

    sin (60°) = opposite/hypotenuse

    Where:

    opposite=y

    hypotenuse=8

    Now, when you substitute and solve for the opposite side, you obtain the following result:

    y=8*sin (60°)

    y=4√3≈6.93
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