Adrunken sailor stumbles 580 meters north, 530 meters northeast, then 480 meters northwest. what is the total displacement and the angle of the displacement? (assume east is the +x-direction and north is the +y-direction.)
a) what's the magnitude?
b) what's the direction? (in degrees and counterclockwise to the x-axis.)

(a)  1294.66 m

(b) 88.44°

Explanation:

d1 = 580 m North

d2 = 530 m North east

d3 = 480 m North west

(a) Write the displacements in vector forms

The resultant displacement is given by

magnitude of the displacement

d = 1294.66 m

(b) Let θ be the angle from + X axis direction in counter clockwise

θ = 88.44°

b mirrors submit a iisner? e. for which optical devices does d sometimes have a positive value? o a a and b o b. a and c o c. b and d 0 d. b and cb