He woke up on the island in the late afternoon. Evidence - "When he opened his eyes he knew by the position of the sun it was late afternoon... Dense jungle was at the edge of the cliffs." (Pg. 107)
He follows footprints until he reaches a castle. Evidence - "He examined the ground closely and found what we had hoped to find - the print of hunting boots... His eyes made out the shadowy outlines of a palatial chateau." (Pg 95-96)
He has met his enemy at the dinning table and they have started the hunt. Evidence - "It is a great pleasure and honor to welcome "Mr Sanger Rainsford"... You'll hardly have time for a nap. You'll want to start no doubt." (Pg 97 & 106)
You've done well, Rainsford... your Burmese Tiger Pit has claimed one of my best dogs. Again you score. I think, Mr. Rainsford, I'll see what you can do against my whole pack.
Rainsford wanted to put distance between him and Zaroff. Evidence - "I'll give him a trail to follow... He executed a series of intricate loops; he doubled on his trail again anyd again, recalling all of the lore of the fox hunt." (Pg 107)
He wanted to set up a trap to kill him, but it only injuries him. Evidence - "His foot touched the protruding bough that was a trigger... But he was not quit quick enough : the dead tree, delicately adjusted to rest on the cut living one... struck the general a glanicng blow on the shoulder as it fell." (Pg 108-109)
Rainsford ends up killing Zaroffs besthound with a tiger pit. Evidence - "You've done well, Rainsford... your Burmese Tiger Pit has claimed one of my best dogs. Again you score. I think, Mr. Rainsford, I'll see what you can do against my whole pack." (Pg 110)