please someone help me with these math exercises

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Oct 20th, 2017

3.   Slope = 5/170       rise = 350 m       run = ?

       slope = rise/run

       run = rise/slope

       run = 350/5/170 = 350 * 170 / 5 = 59500 / 5 = 11900 m

4.     Slope = 0.48       rise = ?       run = 124 m

       slope = rise/run

       rise = run * slope

       rise = 124 * 0.48 = 59.52 = 59.5 m

5.    4 cm  drop = 1.5 m horizontal distance

       Now multiply by 20 on both sides, we get

       20 * 4 cm  drop = 20 * 1.5 m horizontal distance

       40 cm drop = 30 m horizontal distance

Hence  the drop should be 40 cm to have the horizontal distance of 30 m.

7.   rise = 8    run = 5    slope = ?

        slope = rise / run

        slope = 8/5

        slope = 1.6

now    tan (theta) = slope

           theta = tan^-1 slope

           theta = tan^-1 (1.6)

           theta = 57.9 degree

8.(a)    rise = 5       run = 9 

     slope = rise/run

     slope = 5/9

     slope = 0.6

(b)    tan (theta) = slope

         theta = tan^-1 slope

         theta = tan^-1 (0.6)

         theta = 30.9 degree

9.      7% grade means     rise = 7      run = 100

now    slope = rise / rune

           slope = 7 / 100

          tan (theta) = slope

          theta = tan^-1 slope

          theta = tan^-1 (0.07)

          theta = 4 degree

Oct 11th, 2014

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