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A road rises 140 feet per horizontal mile. What angle does the road make with the horizontal?

  • Pre-Calculus-Trig -

    Draw a triangle.

    The the road would be the base, which is 1 mile or 5280 feet and the side opposite angle A would be 140.

    You need angle A. You have side a = 140 feet, and side b = 5280 feet.

    tan A = opp/adj = a/b = 140/5280
    tan A = 140/5280 = ?
    arctan ? = angle A

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