Register
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.
150k views
2 votes
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.

User Oritm
by
7.5k points

2 Answers

1 vote

Answer:

46

Explanation:

What is the measure of ∠P, to the nearest degree? 44° 72° A vertically-aligned scalene-example-1
User Shigeta
by
8.0k points
3 votes
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.
What is the measure of ∠P, to the nearest degree? 44° 72° A vertically-aligned scalene-example-1
User Ych
by
8.1k points
← Prev Question Next Question →

Related questions

User Garo Yeriazarian
asked Jul 4, 2019 149k views
What is the measure of ∠P, to the nearest degree? 44° 46° 58° 72°
Garo Yeriazarian asked Jul 4, 2019
by Garo Yeriazarian
7.7k points
2 answers
0 votes
149k views
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.5m questions

12.2m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
What is .725 as a fraction
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
Write words to match the expression. 24- ( 6+3)
Link Copied!