In: Physics
a) A treasure map gives the following directions: (1) Walk fifty meters at 30 degrees north or east from the old oak tree. (2) Turn 45 degrees to your left (you should now be facing 75degrees north of east) and walk another fifty meters. You will find the treasure buried under a rock. What straight-line path would take you directly from the old oak tree to the rock with the treasure buried under it?
b) You followed the first direction on the treasure map correctly but after trying to follow the second direction, you do not find a rock with treasure buried under it. Instead, you are standing in a mudhole 92.4 meters 7.50 degrees north of east from the oak tree. What was the erroneous path (distance and direction) you took for the second part of the directions? What mistake did you make in following the directions on the treasure map?