You are to give a neat and detailed solution starting each p

You are to give a neat and detailed solution, starting each problem on fresh page each, with very clearly drawn and labeled triangle, using the Law of the Sines or Law of Cosines in each case You Must include any ambiguous cases. Round all final answers to the nearest tenth.

3. Given triangle ABC, B = 42°, a =4.5, b = 4, solve A and c

Solution

angle B = 42 degrees

a = 4.5

b = 4

applying law of sines

a/sin A = b / sin B = c / sin C

pligging the values we get

4.5 / sin A = 4 / sin 42

sin A = .75277

A = sin^-1 (.75277)

A = 48.8310 degrees

angle C = 180 - ( 42 + 48.8310) = 89.17 degrees

4 / sin 42 = c / sin 89.17

c = 5.977