Question 282047
We know that {{{X^2 + Y^2 = Z^2}}} where Z is the hypotenuse and X and Y are two sides of a right triangle.

For sine = Y/Z = 6/10

so we know {{{X^2 + 6^2 = 10^2}}}
which is {{{X^2 + 36 = 100}}}
which is {{{X^2 = 64}}}
which is {{{X = 8}}} since we are dealing with distance, we take the positive value for X.

We know cosine is X/Z, Z stays the same and X is 8. So your answer is 8/10 or 4/5