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    Topics || Problems

    A railroad is inclined at an angle of \(50'\) with the horizontal. How many feet does it rise in a horizontal distance of 2 miles?

    \(\tan {0^o 50'} = \frac{rise}{2} \)

    \(2\tan {0^o 50'} = rise\)

    \(2\tan {0^o 50'} = rise\)

    \(rise = 0.0291 ~mi\)

    \(rise = 0.0291 (\frac{5280 ~ft}{1 ~mi})\)

    \(rise = 150.6 ~ft\)