Problem 34.5: Size of a fish's world
Please wait for the animation to completely load.
A fish in a tank is shown. Both the position of the source and the angle of the source rays can be adjusted by click-dragging the circular hotspots. You can use the movable green protractor and click-drag to measure angles (position is given in centimeters and angle is given in degrees). Restart.
- When the fish's eye is 1 cm from the edge, how big is the circle through which the fish sees the world outside the fish tank when he looks straight ahead (to the right in the animation)?
- Find an expression for the size of the circle through which the fish sees the outside world as a function of how far away the fish is from the right edge of the tank.
Problem authored by Melissa Dancy.