Question

A mirror on the passenger side of your car is convex and has a radius of curvature with magnitude 18 cm. (a)Another car is seen in this side mirror and is 13 m behind the mirror, if the car is 1.5 m tall, what is the height of its image?

I can't figure this one out! help please!

Answer 1

The focal length of the convex mirror is -R/2 = -9 cm

(a) 1/do + 1/di = 1/f = -1/9
1/1300 + 1/di = -1/9
1/di = -0.11111- 0.00078 = -0.11189
di = -8.954 cm (behind the mirror)

Image height = (Object height)x (magnification)
= 1.5 m*(di/do) = 0.0103 m = 1.03 cm