while exploring a cave, a spelunker starts at the entrance and moves the following distances in a horizontal plane. she goes 75.0 m north, 250 m east, 125 m at an angle theta equal to 30.0 north of east, and 150 m south. find her resultant displacement from the cave entrance.

Answer 1

the displacement for each leg of the journey is

(0,75)
(250,0)
(108.25,62.5) since x=125cos30°, y=125sin30°
(0,-150)
add 'em up to get
(358.25,-12.5)

358.5m final displacement.