Answer
(a) Three images are seen.
(b)
$(1.0, -2.0)$
$(-1.0, 2.0)$
$(1.0, 2.0)$
Work Step by Step
(a) One image is seen in the side mirror when the light rays from the ball reflect off the side mirror and reach the observer.
One image is seen in the top mirror when the light rays from the ball reflect off the top mirror and reach the observer.
One image is seen in the top mirror when the light rays from the ball reflect off the side mirror, then off the top mirror, and reach the observer.
Three images are seen.
(b) The observer is at the position $(-3.0, -3.0)$
The light rays that reflect off the side mirror travel a horizontal distance of $4.0~m$ and a vertical distance of $1.0~m$
The coordinates of the image are $(4.0, 1,0)$ relative to the observer.
The coordinates of the image are $(4.0, 1,0)+(-3.0, -3.0) = (1.0, -2.0)$
The light rays that reflect off the top mirror travel a horizontal distance of $2.0~m$ and a vertical distance of $5.0~m$
The coordinates of the image are $(2.0, 5,0)$ relative to the observer.
The coordinates of the image are $(2.0, 5,0)+(-3.0, -3.0) = (-1.0, 2.0)$
The light rays that reflect off the side mirror and then the top mirror travel a horizontal distance of $4.0~m$ and a vertical distance of $5.0~m$
The coordinates of the image are $(4.0, 5,0)$ relative to the observer.
The coordinates of the image are $(4.0, 5,0)+(-3.0, -3.0) = (1.0, 2.0)$
