1 Space Mountain Height Requirement 44 inches (113 cm) or taller. 2  Splash Mountain Height Requirement 40 inches (102 cm) or talle. 3  Big Thunder Mountain Height Requirement 40 inches (102 cm) or taller.  4 Goofy's Barnstormer at least 35 inches (89 cm) or taller.ince there are minimum age and height requirements for many of Walt Disney World’s ® attractions and rides Best of Orlando has compiled a list of all height requirements to ensure you’re prepared on your next World Disney ® visit. Magic Kingdom 1  ®. Seven Dwarfs Mine Train: Height Requirement 38 inches (97cm) or taller.