What does a red signal light with a green arrow indicate at an intersection?

A red signal light with a green arrow indicates that you are allowed to proceed in the direction of the green arrow while the red light is illuminated. This means you can turn in the direction of the green arrow safely, typically because oncoming traffic or other potential hazards are being managed by the red light. However, it's important to proceed with caution, as you should always check for any pedestrians or other vehicles that may be crossing your path.

In this case, "proceed with caution in the direction of the arrow" is the correct interpretation of the signal, as it allows a movement that is usually restricted by the red light, but still requires attention to ensure safety.