Please help with 13 Use the Law of sires to solve it possibl

Use the Law of sires to solve (it possible) the triangle. If two solutions exist, find both round your answers to two decimal places. (if a triangle is not possible, enter IMPOSSOBLE in each corresponding answer blank.) A = 53 degree, a = 9.6, b = 10.7 Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal place A = 149 degree, b = 5, c = 17

Solution

1) A = 53 a = 9.6 ; b= 10.6

b/sinB = a/sinA

sinB = b*sinA/a = 10.6*sin53/9.6

B1 = 61.86 deg ; B2 = 118.14 deg

C1 = 180 -B1 - 53 = 65.14 ; C2 = 180 -B2 -53 = 8.86 deh

c1/sinC1 = a/sinA

c1 = sin65.14*9.6/sin53 = 10.9

c2 = sin8.86*9.6/sin53 = 1.85

2) A = 149 ; b= 5 ; c= 17

Area = (1/2) (b*c)sinA = (1/2)(5*17*sin149 = 21.9 squnits