Question

What is the measure of ∠P, to the nearest degree?

44°


72°
A vertically-aligned scalene triangle M N P. Side M N is labeled as 34. Side M P is labeled as 46. Angle N is labeled as 78 degrees.

Answer 1

46

Explanation:

Answer 2

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.