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.
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.
Asked by: USER6686
238 Viewed
238 Answers
Answer (238)
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°.
_____
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.
Answer:
46
Step-by-step explanation:
