<map lat='36.31934379107642' lng='33.88166427612305' zoom='13' view='0' float='right'/>
There is only one road out of town in this direction, but the problem is that there is very little traffic (at least that was so in April, 2008; expect a similar level unless in summer), so be ready to wait for several hours. Also, if you are around between April and October, remember to take lots of water as well before setting out from the town.
The roads are quite curvy, sometimes extremely so, until Alanya, which is several hundred kilometres away, so those with motion sickness may want to note that. Fortunately there are some towns on the way where you can stop to take a break yourself.
Personal experience: I hitchhiked to Alanya and back two times on this road and although it is scarcely trafficed it is well worth due to the experience as this is one of the most beautiful roads in Turkey. The small ,quite non-touristy, towns in between Tasucu and Alanya are well worth a stop. Especially the Castle in 5 kilometers before Anamur (it is possible to convince the guard to let you in for free).
There is a wonderful small tranquil campsite by the sea about 2 kilometers east of the town. One tent should be 10 lıra a nıght and probably slightly more in July/August.