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Trig-type problem

  1. Feb 19, 2008 #1
    Components / Vectors Problem

    1. The problem statement, all variables and given/known data

    3. During the Civil War, Rear Admiral David Porter (a Boston
    native) is ordered to steam his fleet of river-gunboats to
    Vicksburg, Mississippi. He stops in the Yazoo River a distance d =
    800 m from the town of Vicksburg, which is situated a height h =
    76 m above the level of the river (see figure A). His gunboat
    carries a cannon which can fire cannonballs with a velocity of v=
    100 m/s. His objective is to destroy a bunker at the top of the
    plateau.
    [8 points] If the cannonball lands on the bunker when θ = 33.2o
    , what is the height h of the plateau?

    2. Relevant equations / Attempts

    I tried drawing a triangle, tried using kinematics, where the upwards initial velocity was cos(33.2)*800, but that didn't work either. I know the correct answer is 76 (which is also ironically in the problem itself), but I'm not sure how to get to that. These are practice problems for a midterm tomorrow, so help is appreciated.

    Thanks
     
    Last edited: Feb 19, 2008
  2. jcsd
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