Spock solution: Well if we modulate our phasers to the being’s subspace frequencies we should be able to penetrate its outer layer and discover its true nature.

Kirk solution: I’m going to overcome these aliens’ physically superior champion with cunning and the indomitable human spirit, saving my crew members and proving the righteousness of the Federation’s ideology.

McCoy solution: Six doses of amphetamines to every crew member, and get a seventh round ready.