Right, which is why he uses Mediumship to speak with whatever was made into a crater and figure out what to do. If there wasn't a ghost, that's when you'll have to resort to basic observational skills and head over to the village on the horizon. From there you can get back into your character's omniscient comfort zone. 

Again, by granting your character immediate and relevant knowledge as soon as you want, you carve out the most fun parts of an investigation. 
Want to catch a murderer? Ask the ghost! Ghost doesn't know? Learn everything from the murder weapon! Caught the murderer in the act but he's got a gun on you? Telekinetically disarm him! 

There is no problem you can't solve, sport! The sky's the limit!