Small Aircraft; Low Wing; 1 Eng; Fixed Gear
Flight Crew Instrument; Flight Crew Multiengine; Flight Crew Private
Flight Crew Last 90 Days 2; Flight Crew Total 1000; Flight Crew Type 50
Confusion; Communication Breakdown; Situational Awareness
Deviation - Track / Heading All Types; Deviation / Discrepancy - Procedural Clearance; Deviation / Discrepancy - Procedural Published Material / Policy
Air Traffic Control Issued Advisory / Alert; Flight Crew Became Reoriented
Environment - Non Weather Related; Human Factors; Chart Or Publication; Procedure
Take-off clearance referred to 'KOA Antenna'.  I saw antennas off the end of the runway; and thought they were the intended landmark.  Climbing straight out towards the antennas; the controller got upset that I wasn't 'remaining west of Parker Road'; so I initiated a turn to the left to try to remain west of Parker Road (a prominent highway); but this upset him more; so I turned right and flew southeast; west of Parker Road.  I later determined that the 'KOA Antenna' refers to a 672 foot AM radio tower located southwest of the town of Parker.  I was given a number; and I called the Tower upon landing. I was told 'no deviation would be filed'; and had a discussion about not accepting a clearance when I was unclear about the instructions.  This was my first time flying into Centennial Airport.  It was very busy. Take-away: Don't accept a clearance based on local landmarks when operating at an airport for the first time. The KOA tower is not charted on the TAC chart or the FLY chart; or the sectional. It is also not discussed in any web pages associated with APA. I had researched the destination; but was caught flat footed when they gave me the clearance; and assumed the antennas I was looking at were the intended landmark.  Bad assumption.
Single Private Pilot reported unable to find the tower location on charts referred to by the ATC controller.