Results 1 to 3 of 3

Math Help - determine angle theta for all distances in a movie theater.

  1. #1
    Senior Member
    Joined
    Jan 2007
    Posts
    477

    determine angle theta for all distances in a movie theater.

    In a movie theater the angle theta at which a viewer sees the picture on the screen depends on the distance x of the viewer from the screen. For a movei theater with the dimensions shown in the figure, determine the angle theta (in degrees) for views sitting at distances of 30, 45, 60, 75, and 90 ft. from the screen.

    attached a pic, http://img78.imageshack.us/img78/1507/untitledtv3.jpg

    tried to draw it as accurate as possible. Can't remember all the geometric rules.

    Please help. thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by rcmango View Post
    In a movie theater the angle theta at which a viewer sees the picture on the screen depends on the distance x of the viewer from the screen. For a movei theater with the dimensions shown in the figure, determine the angle theta (in degrees) for views sitting at distances of 30, 45, 60, 75, and 90 ft. from the screen.

    attached a pic, http://img78.imageshack.us/img78/1507/untitledtv3.jpg

    tried to draw it as accurate as possible. Can't remember all the geometric rules.

    Please help. thanks.
    See the attachment

    Evaluation of the calculations specified in the attachment
    is given below:

    Code:
     
    >
    >x=[30,45,60,75,90];
    >t1=atan((6-x*tan(8*pi/180))/x);
    >t=atan((30-x*tan(8*pi/180))/x)-t1;
    >t*180/pi ..convert to degrees
    >
    Column 1 to 4:
           37.275        28.163        22.093       18.0097 
    Column 5 to 5:
          15.1373 
    >
    >
    RonL
    Attached Thumbnails Attached Thumbnails determine angle theta for all distances in a movie theater.-gash.jpg  
    Last edited by CaptainBlack; February 5th 2007 at 10:18 AM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member
    Joined
    Jan 2007
    Posts
    477
    excellent, it looks like you used matlab too, i'm studying this for a script file, I really appreciate the math explanations.

    thankyou!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: March 29th 2010, 06:38 AM
  2. Replies: 1
    Last Post: September 11th 2009, 06:46 AM
  3. Find Angle Theta
    Posted in the Trigonometry Forum
    Replies: 5
    Last Post: January 12th 2009, 09:27 PM
  4. Angle Theta
    Posted in the Trigonometry Forum
    Replies: 5
    Last Post: January 5th 2009, 10:00 PM
  5. Movie Theater
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: December 10th 2008, 07:33 AM

Search Tags


/mathhelpforum @mathhelpforum