# Thread: Distance

1. ## Distance

If the distance from the point (5,k) to the line 5x - 12y + 8 = 0 is 15, find k.

THanks

2. Originally Posted by Mr_Green
If the distance from the point (5,k) to the line 5x - 12y + 8 = 0 is 15, find k.

THanks
The distance from this point to this line is:
$\displaystyle \frac{| 5(5) - 12 (k)-8|}{\sqrt{5^2+12^2}} = 15$.
Now solve.