Margaret walks to the store using the following path: 0.435 miles west, 0.280 miles north, 0.300 miles east. What is her total displacement? That is, what is the length and direction of the vector that points from her house directly to the store?

Question

Find magnitude in miles and direction in Degrees please???

Thank you

Answer 1

D = (-0.435+0.300) + i0.280.
D = -0.135 + i0.280.
tanAr=Y/X = 0.280 / -0.135=-2.07407,
Ar -64.26 Deg.
A = Ar + 180,
A=-64.26 + 180 = 115.7 Deg.=Direction.

D=X/cosA = -0.135 / cos115.7=0.311 Mi.
@ 115.7 Deg.