Final answer:
The focal length of the convex mirror is -30 cm.
Step-by-step explanation:
To find the focal length of a convex mirror, we can use the mirror equation, which is given by:
1/f = 1/do + 1/di
In this case, the object distance (do) is 60 cm and the image distance (di) is -20 cm (since the image is virtual and located on the same side as the object).
Plugging in the values, we get:
1/f = 1/60 + 1/-20
Simplifying the equation, we find that the focal length of the mirror is -30 cm.
The focal length of a convex mirror is considered negative.
This is because convex mirrors diverge light rays that are parallel to the mirror's principal axis.
In a convex mirror, the focal point is the point where the extended reflected rays appear to diverge from when projected backward.