Trigonometry of Angles

Question

Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.)

a = 73.9,    ∠B = 62°,    ∠C = 82°

Find what Angle A =

b =

c =

Answer 1

First find angle A by difference from 180

angle A = 180 - 82 - 62 = 36 deg

Then use Law of Sines to find b and c.

SinA/a = SinB/b

Sin36/73.9 = Sin62/b

b = 111.0

SinA/a = SinC/c

Sin36/73.9 = Sin 82/c

c = 125.5