There are 2 translations of cuesta in English:

cuesta1

nombre femenino/feminine noun

  • 1 (pendiente) íbamos cuesta arriba we were going uphill iba corriendo cuesta abajo y no pude parar I was running downhill and couldn't stop estacionar en cuesta to park on a hill dejé el coche en la cuesta I left the car on the hill/slope una cuesta muy pronunciada a very steep slope hacérsele muy cuesta arriba a algn, se me hace muy cuesta arriba trabajar con este calor I find it very difficult to work in this heat, it's an uphill struggle working in this heat ir cuesta abajo [coche/corredor] to go downhill [negocio] to go downhill, be on the skids [familiar/colloquial] la cuesta de enero January ([ when people are traditionally short of money ])
  • 2a cuestas (encima), llevaba el bulto a cuestas she was carrying the bundle on her shoulders/back no te eches los problemas ajenos a cuestas don't weigh yourself down o/or burden yourself with other people's problems parece que llevas los problemas del mundo a cuestas you look as if you have the weight of the world on your shoulders