Is 32 feet bigger than 11 yards
2 answers:
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By the Law of Sines
sin(P)/MN = sin(N)/MP
sin(P) = MN*sin(N)/MP
∠P = arcsin(34*sin(78°)/46) ≈ arcsin(0.722979)
∠P ≈ 46.30°
The measure of ∠P to the nearest degree is 46°.
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This measure is confirmed by drawing it using a geometry program.
sin(P)/MN = sin(N)/MP
sin(P) = MN*sin(N)/MP
∠P = arcsin(34*sin(78°)/46) ≈ arcsin(0.722979)
∠P ≈ 46.30°
The measure of ∠P to the nearest degree is 46°.
_____
This measure is confirmed by drawing it using a geometry program.