You are Dixie, and you need the treasure box behind Klampon. It gives you a Kannonball when you throw it at a Kremling which will help you get to the bonus room. What is the one way you are not supposed to do it?
 

Do a small jump, helicopter spin over Klampon, pick up the treasure box and hit Klampon with it.

Jump on top of the hill above Klampon, run right, drop down and run left to the treasure box, pick it up and throw it at Klampon.

Jump on top of Klampon, pick up the treasure box and hit a Kremling a little further ahead.