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The grade of a road is 7%. What angle does the road make with the horizontal?

I'm confused!! What is the grade of a road? Thanks for the help!

  • geometrey -

    The "grade" is the tangent of the slope angle.

    arctan 0.07 = 4.00 degrees

    (4 degrees is the angle whose tangent is 0.07)

  • geometrey -

    how did u get the 4?

  • geometrey -

    nevermind my calculator was being stupid. thanks

  • geometrey -

    sorry one more question. so...

    a road climbs at an 8 degree angle with the horizontal. what is the grade of the road?

    the answer would be 5?

  • geometrey -

    I used the arctan key of my hand calculator. If you don't have one, you should use a table of trig functions

  • geometrey -

    The answer to your second question is the tangent of 8 degrees. That is 0.1405, for a 14.05% grade.

    You don't find many roads that steep. Driveways, maybe.

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