If the tan of angle x is 22 over 5, and the triangle was dilated to be two times as big as the original, what would be the value of the tan of x for the dilated triangle? hint: use the slash symbol ( / ) to represent the fraction bar and enter the fraction with no spaces.

If tan(x) = 22/5 for the old triangle, then tan(x) = 22/5 for the new triangle. Nothing changes. The reason why is because the ratio of the sides stays the same. Yes the sides get twice as big, but when you divide them, the ratio isn't altered.

Let's say that 22 was the opposite side and 5 is the adjacent side. So 
tan(x) = opposite/adjacent
tan(x) = 22/5

Now double each side
22 doubles to 44
5 doubles to 10

Compute tan(x)
tan(x) = opposite/adjacent
tan(x) = 44/10
tan(x) = 22/5 reduce the fraction as much as possible

So even though we doubled each side, the ratio of the sides remains the same.