Originally Posted by

**rcmango** 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