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29 April, 02:36

In ΔOPQ, the measure of ∠Q=90°, OQ = 20, PO = 29, and QP = 21. What is the value of the sine of ∠P to the nearest hundredth?

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Answers (2)
  1. 29 April, 02:41
    0
    0.69

    Step-by-step explanation:

    OQ/sin (P) = OP/sin (Q)

    20/sin (P) = 29/sin (90)

    sin (P) = 20/29

    sin (P) = 0.6896551724
  2. 29 April, 02:56
    0
    0.69

    Step-by-step explanation:

    The mnemonic SOH CAH TOA reminds you that the sine is the ratio ...

    Sin = Opposite/Hypotenuse

    For angle P, the opposite side is OQ. The hypotenuse is the longest side, PO. So, the sine is ...

    sin (P) = OQ/PO = 20/29

    sin (P) ≈ 0.69
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