Question: is cusco higher than machu picchu?
Answer: Go lower and acclimatise. Believe it or not, Cusco is at an altitude of 3400m (11,154ft) so heading to Pisac or Urubamba at 2,900m (9,514ft) or Machu Picchu at 2,400m (7,874ft) can make a huge difference. After a few days you can then make your way back up to Cusco and will feel a lot better.