A60-yard long drawbridge has one end at ground level. the other end is initially at an incline of 5°. during one stage of the drawbridge's motion, the raised end is 11 yards above the ground. what is the incline of the drawbridge to the nearest hundredth

The drawbridge will be at an incline of 10.56 degrees. That is 5.56 degrees more than it's initial incline of 5 degrees.

If you draw a picture of this situation, you will see that you can write a sine ratio with the 11 and 60 (opposite over hypotenuse)

sin(x) = 11/60  Solve the equation for x

x = 10.56

If you make it a little more clear i can answer it

First subtract 10 from both side
y^2+6y-16=0
(y+8)(y-2)=0
-8 and 2