Ask Question
29 August, 01:50

Use the Law of Sines to find the missing angle of the triangle. Find measure of angle b given that c=83, a=44 and that measure of angle a = 31. A=76.3 degrees B = 15.8 degrees C = 72.7 degrees,

+3
Answers (1)
  1. 29 August, 05:09
    0
    - Use the Law of SInes to find the measure of angle C:

    (sinC) / c = (sinA) / a

    sincC = c (sinA) / a

    C = sin ⁻¹ (c·sinA / a)

    Plugging in numbers:

    C = sin⁻¹ (83·sin (31) / 44)

    = sin⁻ ¹ (0.97155)

    = 76.3°

    - We know that the sum of the internal angles of a triangle is 180°, therefore:

    B = 180 - (A + C)

    = 180 - (31 + 76.3)

    = 180 - 107.3

    = 72.7°

    - Therefore the corret answer is C: angle B is 72.7°
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Use the Law of Sines to find the missing angle of the triangle. Find measure of angle b given that c=83, a=44 and that measure of angle a = ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers