Answer:
6 inches
Step-by-step explanation:
The formula for the area of a triangle is

b - base
h - height 
the first step is to add the information that we know into the formula.
We know the area =  and the height = 5 inches
 and the height = 5 inches 

if we had both the base and the height, the next step would be to multiply 
b x h then half the answer to work out the area but as we already have the area ( ) we need to work in reverse.
) we need to work in reverse. 
15 x 2 = 30
what is 5 multiplied by to get 30?
5 x ? = 30
30 ÷ 5 = 6
∴ the base = 6inches
to check if our answer is correct, we can place these numbers into the formula
A = 
A =  (30 ÷ 2 = 15)
   (30 ÷ 2 = 15)
A = 15
I hope this was helpful :-)