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1.4: Summary Problems

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  • 1.4 Summary Problems

    1. Using the measurements provided, determine the %slope of the following slopes between Points A and B.


    2. On a 60%slope, Todd wants to walk up a slope a distance equivalent to 100 feet horizontal distance. How far should he walk from Point A?


    3. On the contour maps below, determine the average slopes between Points A and B. The scale is 1”=2000’. The contour interval is 80’.


    Answers to Summary Questions

    1. 46c8cff0fe14a4bf15267c3d17adcb56.png%slope


    1a. 4c28005d8607c63de96491dd3afcad31.png111%

    1b. 7dd0b49ba73e2f4a3877347e539f2e8c.png35%

    2. On a 60% slope, we know that the rise is 60% of the run. Therefore, the rise here should be 60% of 100 feet or 60 feet. Using the Pythagorean Theorem, we can solve for the hypotenuse.

    a2 + b2 = c2 where:

    1002 + 602 = c2

    13,600 = c2



    3. The answers to these questions will depend upon how you measured the horizontal, or map distance – hard to do on a screen. My measurements are shown on the maps below:


    At left. Point A is ≈ 3440’. Point B is ≈ 3720’. The rise is 280’. The run is ≈ 2200’. Therefore, the average slope is (280)(100)/2200 = 13%.

    At right. Point A is ≈ 4040’. Point B is ≈ 3280’. The rise is 760’. The run is 1300’. Therefore, the average slope is (760)(100)/2200 = 58%

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