Answer:
tan C = 3/4
Step-by-step explanation:
sin C = opposite over hypotenuse
sin C = 3/5
BC = 5
AB = 3
We can use the Pythagorean theorem
a^2 + b^2 = c^2
3^2 + b^2 = 5^2
9 + b^2= 25
Subtract 9 from each side
9-9+b^2=25-9
b^2= 16
Take the square root of each side
sqrt(b^2)= sqrt(16)
b = 4
AC = 4
Tan C = opp side/ adj side
tan C = AB/ AC = 3/4
