Answer:
D sin 85 sin 31
---------- = ----------
b 9.3
Step-by-step explanation:
We can use the law of sins
sin B sin A sin C
---------- = ----------- = ----------
b a c
We do not know angle C, but we can calculate it
The angles of a triangle add to 180
A + B + C = 180
64+ 85 + C = 180
149 + C = 180
C = 180-149
C =31
sin B sin C
---------- = ----------
b c
We know B = 85, C = 31, b = unknown and c = 9.3
sin 85 sin 31
---------- = ----------
b 9.3
