Final answer:
The image height is 0.36 m and the focal length of the mirror is approximately 0.35 m.
Step-by-step explanation:
To find the image height, we can use the magnification formula:
magnification = image height / object height
Given that the object height is 1.1 m and the image height is 0.40 m, we can plug in the values:
magnification = 0.40 m / 1.1 m = 0.36
Therefore, the image height is 0.36 m. To find the focal length of the mirror, we can use the mirror equation:
1/focal length = 1/object distance + 1/image distance
Given that the object distance is 6.0 m and the image distance is -0.40 m (using the sign convention for convex mirrors), we can plug in the values:
1/focal length = 1/6.0 m + 1/-0.40 m
Simplifying the equation, we find that the focal length of the mirror is approximately 0.35 m.