Results 1 to 2 of 2

Math Help - Sandbag Shadow Problem

  1. #1
    Newbie
    Joined
    Nov 2009
    Posts
    2

    Sandbag Shadow Problem

    Okay so....
    A sandbag is dropped from a balloon at a height of 60 meters when the angle of elevation to the sun is 30 degrees. Find the rate at which the shadow of the sandbag is traveling along the ground when the sandbag is at a height of 35 meters.

    Position Function: s(t) = 60-4.9t^2

    Help would be much appreciated...this one is giving me fits..I think I want to solve this by proportion but I'm really not sure.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,628
    Thanks
    430
    Quote Originally Posted by wismadison2010 View Post
    Okay so....
    A sandbag is dropped from a balloon at a height of 60 meters when the angle of elevation to the sun is 30 degrees. Find the rate at which the shadow of the sandbag is traveling along the ground when the sandbag is at a height of 35 meters.

    Position Function: s(t) = 60-4.9t^2

    Help would be much appreciated...this one is giving me fits..I think I want to solve this by proportion but I'm really not sure.
    proportions is the right way to go ...

    vertical path of the sandbag is the short leg of a 30-60-90 triangle.

    horizontal path of the shadow is the long leg of the same 30-60-90 triangle.

    the respective velocities of each will have the same relationship.


    first, set s(t) = 35 , solve for t.

    in the vertical direction, the sandbag will have the velocity s'(t) = v(t) = -9.8t . the velocity vector in the horizontal direction (the shadow) ...

    v(t) = -9.8t \cdot \sqrt{3}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. moving shadow
    Posted in the Calculus Forum
    Replies: 0
    Last Post: August 18th 2011, 01:39 PM
  2. Related Rates, shadow and streetlight problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 5th 2010, 11:00 AM
  3. Shadow Problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: January 8th 2010, 10:32 AM
  4. Help with shadow problems
    Posted in the Geometry Forum
    Replies: 1
    Last Post: September 28th 2009, 09:55 AM
  5. Replies: 0
    Last Post: February 19th 2009, 06:10 PM

Search Tags


/mathhelpforum @mathhelpforum