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Find angle with given distance and height

  1. Feb 15, 2016 #1
    1. The problem statement, all variables and given/known data
    You have a device that shoots an object at an angle, on top of a desk.
    You have x,y and v solve for the angle.
    Origin is at the top of the desk.

    2. Relevant equations
    y=vyot+(½)ayt2
    x = vxot
    vsinΘ = vyo
    vcosΘ = vxo

    3. The attempt at a solution
    y= vsinΘt + (1/2)at^2
    x = vcosΘt → t = x/(vcosΘ)

    y = x*(vsinΘ)/(vcosΘ) +(1/2)a(x/(vcosΘ))^2
    y = xtanΘ + (a/2)*((x^2)/(v^2cos^2Θ))
    from here i moved cos^2Θ to the left and changed tanΘ into sincos but I don't know how to isolate the Θ by itsself.

    Does anyone have any ideas? I know quadratic equation can be used but i don't know how to change it for Θ

    Any help is appreciated.
     
  2. jcsd
  3. Feb 15, 2016 #2
    Hi bryce:

    Your title says you want the angle given the distance and height. Your problem statement does not mention a distance and height, ether as a number or as a variable. I suppose you might have in mind that x is distance and y is height, but then what has the desk got to do with it?

    Regards,
    Buzz
     
  4. Feb 15, 2016 #3

    TSny

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