Do Homework Joseph Murphy Mozilla Firefox mathal com Student Spring 2017 Precalc

Question

Do Homework Joseph Murphy Mozilla Firefox mathal com Student Spring 2017 Precalculus II, Math 114c, CRNs 23917. TR 530-650 Homework: HW 10: Law of Sines & Cosines; Solving Trig Equati Score: 0 of 1 pt 3 of 21 (2 complete) HW Score: 794%, 1 67 of Y"o andan angie SSA) ofa" ange are given Determine whether the gvenmeasurements produce one trange, two tranges, or notrange at sorve each tunge msuts a 6, b 5. As 50" Question Help Selected the correct choice below and, rnecessary. in the answer boxes to complete your choice (Round side lengths to the nearest tenm and ange measurements to the nearest degree as needed) O A There is only one possible solution for the triangle The measurements for the remaining side cand angles Band Care as folows. O B. There are two possible solutions for the triangle. The measurements for the solution with the the smaler angle Bare as follows for the solution with the the larger angie Bare astolows. O c. There are no possible soutons for this triangle Click to select and enter your answer(s) and then click Check Answer. All parts showing os NI Pa

Explanation / Answer

a = 6 ; b = 5 ; A = 50 deg

apply sine law: a/sinA = b/sinB

sinB = 5*sin50/6 = 0.638

B1 = 39.67 ; B2 = 180 - 39.67 = 140.33 deg

C1 = 180 -50 - 39.67 = 90.33 deg ; C2 = 180 - 140.33 - 50 = -10.33 ( Not possible)

Only 1 triangle is possible

Find c : c/sinC = a/sinA

c = 6*sin90.33/sin50 = 7.83

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