Answer:
Y = 13
Explanation:
You can use the sine rule to solve this. The sine rule states that:
Sin(a) / A = Sin(b) / B = Sin(c) = C
In other words the sine of the angle in any corner in a triangle, divided by the length of the opposite side, will be equal to that of the other two sides as well.
In this case, we can take the ratio between the sine of the right angle, and each of our hypotenuses, and state them as equal, giving us the solution:
sin(90) / (5y + 13) = sin(90) / 6y
1 / (5y + 13) = 1 / 6y
5y + 13 = 6y
6y - 5y = 13
y = 13