Use the Law of Sines to solve for all possible triangles tha

Use the Law of Sines to solve for all possible triangles that satisfy the given place. Below, enter your answers so that A_1 is smaller than A_2.) b = 48, C = 47, C = 36 degree Find the indicated angle Theta. (Use either the Law of Sines or the Law of Cosines, as place.)

Solution

b = 48 ; c= 47 Angle C = 36 deg

b/sinB = c/sinC

sinB = b*sinC/c = 48*sin36/47 =0.6

B2 = sin^-1(0.6) = 36.89 deg ; B1 = 180 - 36.89 = 143.1 deg

A2 = 180 - 36.89 -36 = 107.11 deg ; A1 = 180 - 36 - 143.1 = 0.9 deg

a2/sinA2 = 48/sinB2 ---> a1 = 76.42

a1/sinA1 = 48/sinB1----> a2 =1.255