Question

A treasure map directs you to start at a palm tree and walk due north for 10.0 m. You are then to turn 90° and walk 14.0 m; then turn 90° again and walk 5.00 m. For each of the four possible locations of the treasure, give the distance from the palm tree and the direction, expressed as an angle measured counterclockwise from north. List the possible locations in counterclockwise (CCW) order, starting with the one which is closest to due east.

- m and - ° (location closest to due east)
- m and - ° (next location in the CCW direction)
- m and - ° (next location in the CCW direction)
- m an

Answer 1

and - ° (next location in the CCW direction)

Answer 2

Use the starting point as (0,0) and write out the first two steps. You'll have a right triangle whose A & B sides are 10.0m and 14.0m, respectively. Using trig, \[\tan \theta = \frac{14.0m}{10.0m}\]