From Degrees To Inches ?
Take a look at the attached diagram. From our high school trigonometry, the sine of an angle is opposite, (O - deflection) over/divided by hypotenuse (H - width) or:
sine = O/H
To determine the opposite/deflection, we solve using high school algebra by muliplying both sides by H:
O = sine * H
or:
deflection = sine * width