How far away does a camera have to be to take a picture of a 100 ft. long object? Is there a formula for this?

Does anybody know a formula to figure out the following: Say I wanted to take a picture of a wall that is 100 feet in width and in length. How many feet away from the wall would the camera have to be to capture he entire wall???





I obviously could measure the distance with a long measuring tape once I found my self in a position where the entire wall was in the picture, but my goal is to find the formula for the problem.








Thank you for your help.How far away does a camera have to be to take a picture of a 100 ft. long object? Is there a formula for this?
Depends on the lens more then the sensor.





What is the field of view of the lens? What angle of view does it have? (varies depending on the lens and the zoom)





A typical 50mm lens has about a 40-45 degree field of view. (estimate, depends on the manufacturer and a LOT of other factors)





Once you have that field of view number in hand it is simple geomotry/triganometry.How far away does a camera have to be to take a picture of a 100 ft. long object? Is there a formula for this?
The formula also depends on the focal length of the lens and the size of your film or sensor. As a rough guide, the shorter the focal length the wider the angle covered. Also the bigger the sensor, the wider the angle covered.