Identify the arrows that show the correct direction of heat transfer.

First, anything with a temperature different than zero will irradiate temperature, so with this point of view, all the lines are correct, but let's ignore the radiation.

In the more classical heat transfer (by contact), the heat goes from the hot element to the cooler element, so for example, the lines that are correct in the picture are: water to atmosphere (because water is at 112°F and atmosphere is at 66°F)

Hand to the atmosphere (because the hand is at 98°F and atmosphere is at 66°F)

Al the other lines would be incorrect.