While exploring a cave, a spelunker starts at the entrance and moves the following distances: 75.0 m north, 275 m east, 215 m at an angle 30.0° north of east, and 150 m south. Find the resultant displacement from the cave entrance.

Answer 1

break it down to horizontal(x) and vertical(y) components!

y = 75m + 215(sin30)m

x = 275m + 215(cos30)m

perform Pythagorean theorem!
sqrt(x^2+y^2)=?

displacement also has direction, so
tan^-1(y/x)=?