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Real-Life Math -- Solution

If the total height of the brace is X, the perpendicular of the triangle formed by the incline section, the rise, and the run will be X minus 3 feet long.

This is the opposite side to the 16-degree angle; 86 feet is the adjacent side; and the actual length of the conveyor on an incline is the hypotenuse.

math101.gif

Therefore to work out X (you'll need your calculator):

Tangent = opposite/adjacent
the tangent of 16 = (X-3)/ 86
X - 3 = (tan16)(86)
X - 3 = 24.66
feet
24.66 + 3 = 27.66feet

Therefore X = 27.66 feet, which is how long to make the brace.


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