Question

The human eye can sharply see objects within a 15 Dagrees horizontal angle either side of the direction of focus. Arlo is designing a video presentation to be shown on a cylindrical screen that viewers will stand inside. The screen circumference is 120 feet. What is the maximum width of an image that can be viewed clearly in a glance from somewhere in the viewing area?

Answer 1

Maximum width of image that can be viewed clearly on the cylindrical screen is 10 ft

Explanation:

Here we have

Circumference of screen = 2πr = 120 ft

Angle that can be viewed horizontally either side of focus = 15°

Total angle view = 30°

Size of image that can be viewed = Object within 30° of focus

Maximum width of image that can be viewed clearly = Perimeter of 30° arc section of cylinder

Maximum width of image that can be viewed clearly = 30/360×120 ft = 10 ft.

Maximum width of image that can be viewed clearly on the cylindrical screen = 10 ft.