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About how many inches do I need to raise the headboard of a 91-inch long queen size mattress in order to get a 5 degree incline?
Think of the length of the mattress as the radius of a circle. Find the circumference of the circle from the radius. The circle is 360 degrees so the height you want to raise the mattress will be the circumference divided by 360 and then multiplied by 5.
circumference = (pie) 3.14 X 91" X 2 = 571.48"
571.48" / 360 = 1.587"
1.587" X 5 = 7.935"
That's pretty darn close to 8 inches.
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