Final answer:
With the information provided, it is not possible to determine the object's height in front of a convex mirror, as we are missing the image-to-object distance ratio or the magnification factor.
Step-by-step explanation:
To find the object's height when an image is created by a convex mirror, we can use the magnification formula, which is the ratio of the image height (h_i) to the object height (h_o). The magnification (m) is also the negative ratio of the image distance (d_i) to the object distance (d_o).
In this scenario, we don't have direct numbers for either the magnification or the object height. But since the image characteristics (height and position) for convex mirrors are similar to those for flat mirrors, we can infer that the object height will be positive (since the image is upright) and that the object and image heights are proportional based on the law of reflection.
However, the question does not provide enough information to determine the object's height if it were based on typical mirror equations since we need either the image distance or magnification. Usually, a question about a convex mirror would involve distances and not just object and image heights alone unless this is a concept simplification. As such, with the information given, the object height cannot be determined, and we should therefore refrain from answering based on incomplete data.