a) A treasure map gives the following directions: (1) Walk fifty meters at 30 degrees north...

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?

Expert Solution

genius_generous answered 2 years ago

1. The treasure map in the figure gives the following directions to the buried treasure: "Start...

1. The treasure map in the figure gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 510 paces, then due east for 150 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle 60 ^\circ east of north. After walking 350 paces you see an opening through the woods. a....

The treasure map in the figure gives the following directions to the buried treasure: "Start at...

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