Answer:
C = 25
a = 10.72
b = 11.83
Step-by-step explanation:
The easiest thing to solve for right now is C- all angles in a triangle add up to 180 degrees. So we can subtract 65 and 90 from 180 to get the measure of angle C, 25 degrees.
Then we can use trigonometric functions: SOH CAH TOA
sinC = opposite / hypotenuse
sin25 = 5 /hyp
5/sin25 = hyp
hyp (aka b) = 11.83
cosC = adjacent / hypotenus
cos25 = a/11.83
11.83*cos25 = a
a = 10.72
C = 25
a = 10.72
b = 11.83
