a) A treasure map gives the following directions: (1) Walk fiftymeters at 30 degrees north or east from the old oak tree. (2) Turn45 degrees to your left (you should now be facing 75degrees northof east) and walk another fifty meters. You will find the treasureburied under a rock. What straight-line path would take youdirectly from the old oak tree to the rock with the treasure buriedunder it?
b) You followed the first direction on the treasure mapcorrectly but after trying to follow the second direction, you donot find a rock with treasure buried under it. Instead, you arestanding in a mudhole 92.4 meters 7.50 degrees north of east fromthe oak tree. What was the erroneous path (distance and direction)you took for the second part of the directions? What mistake didyou make in following the directions on the treasure map?
