Use the triangle shown on the right and the given informatio

Use the triangle shown on the right and the given information to solve triangle. b = 2, A = 40degree; find a, c, and B a = (Round to two decimal places as needed.) c = (Round to two decimal places as needed.) B = (Round to one decimal place as needed.)

Solution

from diagram tanA = a/b

a = btanA = 2*tan40 = 2*0.8391 = 1.68

and

cosA = b/c

c = b/cos40 = 2/0.76604 = 1.53

and

we know A+B+C=180

then B = 180-A-C = 180-90-40 = 50