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?
2 answers:
Answer:
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
Answer:
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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