Based on the evidence given in the question, it's nearly impossible to narrow a location down. A key piece of information that is not given is the time of year. The question states that the time is 1:00 in the afternoon. That is typically the time of day that coincides with the highest temperatures. But not knowing if it is summer or winter is a big problem. If it is summer, I would not be guessing places in the southeast United States like previous answers have suggested. Those places are good guesses only if it is winter, because the temperature is too low for a typical summer afternoon.
That is unless the location is fairly far north or south of the equator during the summer. For example, right now it is just about noon in Augusta, Maine. It's June 2, 2016, and the temperature there is 57 degrees with 97% humidity. The temperature is within a few degrees of your question, and 97% humidity would make the air feel sticky.
The best information given in the question is the fact that the air feels "sticky." This means that the relative humidity is quite high. Relative humidity is the amount of water vapor the air is holding compared to the maximum amount it could hold at a given temperature. The lower the temperature, the less overall moisture the air can hold. As temperature drops, relative humidity will rise. The high humidity that the question hints at leads me to think that a possible location has to be near a large body of water. That could be just about any country or state that borders an ocean. Hawaii, Maine, Washington, England, etc. could all have that temperature and humidity at 1:00 depending on the time of year. Of course places like Michigan in the spring or fall would work well too, because that state is almost completely surrounded by large lakes. I've linked a couple of U.S. maps that show relative humidity numbers over general regions. The time of day and month is shown on both maps.
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