The height of the object after 0.6 seconds is approximately $-18.45$ units, rounded to the nearest hundredth.

Would you like more details or have any questions? Here are some related questions to expand on the concept:

1. What is the maximum height of the object based on the given equation?
2. How long does it take for the object to reach its minimum height?
3. What does the cosine function represent in this context?
4. How would the graph of this equation look over time?
5. What is the period of the object's motion?

Tip: The cosine function oscillates between -1 and 1, which causes the object to move up and down periodically.