Solve the right triangle ABC where C 90Degree a 45 yd c 6

Solve the right triangle ABC, where C = 90Degree. a = 4.5 yd, c = 6.8 yd b = controlDEL (Round to the nearest hundredth as needed.) A = controlDELDegree (Round to the nearest tenth as needed.) B = controlDELDegree (Round to the nearest tenth as needed.)

Solution

a=4.5, c=6.8,C=90^o

by law of sines a/sinA =c/sinC

4.5/sinA =6.8/sin90^o

sinA=4.5/6.8

A=41.4^o

A+B+C=180^o

B=180^o-A-C

B=180^o-41.4^o-90^o

B=48.6^o

b/sinB =c/sinC

b/sin48.6^o =6.8/sin90^o

b=6.8sin48.6^o

b=5.10