The phrase "a high challenge" is correct and usable in written English.
It can be used to describe a task or situation that requires significant effort, skill, or determination to overcome.
Example: "Completing the marathon was a high challenge, but I felt accomplished after crossing the finish line."
Alternatives: "a significant challenge" or "a tough challenge".
"Stupid," said Hiddink, who looked relieved when Zhirkov was subsequently shown a yellow card rather than red for a high challenge on Marveaux.
Andy Sambrook was shown a straight red card for a high challenge on Adam Rundle, a decision that even appeared to surprise Mansfield's manager Peter Shirtliff.
Moments later Vidic threw himself into a high challenge on Gabriel Giurgiu, taking perhaps a touch of the ball but certainly plenty of the man.
The final 25 minutes, in contrast, were one-way traffic following Johnny Leota being sent to the sin bin for a high challenge on Will Chudley.
Rio Ferdinand gets booked for a high challenge on Rafael Bastos, who he hoofs in the stomach as the pair contest a 50-50 ball.
He scored an early goal then left the match after a collision with defender Marcus Tulio Tanaka in what The A.P. reported was a high challenge.
Nani's dismissal by Cuneyt Cakir, the referee, for a high challenge on Alvaro Arbeloa left Ferguson "distraught", and he refused to attend the post-match press conference, for which he now faces Uefa sanctions.
Ten minutes later, the Brazilian national team veteran Lúcio, just back from a four-match ban, grew frustrated with his inability to contain Atlético's tricky forward Bernard, 20, and lunged at him with a high challenge.
But just when City found some hope it was ripped away from them by Clichy's dismissal for a high challenge on Alves, his second yellow card after an earlier foul on Ivan Rakitic.
Ian Harte pulled a goal back and, when the Swindon goalkeeper Bart Griemink was dismissed for his second bookable offence, a high challenge on Alan Smith, in the closing stages, Leeds could sense a miraculous escape - even if the source of it was on nobody's betting slip.
That was about it for first-half goalmouth action until a couple of minutes before the interval, when Joel Robles was obliged to make the first save of the game, tipping a free-kick from Willian over the bar after Jagielka had been penalised and booked for a high challenge on Fàbregas.
