Find all possible solutions if any for Delta ABC Round all s

Find all possible solutions, if any. for Delta ABC. Round all side lengths to the nearest tenth and all angle measures to the nearest tenth of a degree. Clearly indicate your final answers.. Circle all of the statements that arc true about right triangles Delta ABC and Delta DEC.

Solution

20 is already done:

21) A = 30 deg ; a=2 \'; b= 3

sine rule: a/sinA = b/sinB

sinB = b*sinA/a = 3*sin30/2 = 0.75

B = 48.59 deg

C = 180 -B -C = 180 -48.59 -30 = 101.4 deg

c/sinC = a/sinA

c = sinC*a/sinA = sin101.4*2/sin30 = 3.92