Question

Calculate both the distance and the magnitude
of
the displecement of earth after
one complete orbit around the sun.​

Answer 1

Add vectors in the same direction with "ordinary" addition.

x = 11,200 m + 8,400 m

x = 19,600 m

y = 3200 m + 1700 m

y = 4900 m

Add vectors at right angles with a combination of pythagorean theorem for magnitude…

r = √(x2 + y2)

r = √[(19,600 m)2 + (4,900 m)2]

r = 20,200 m

and tangent for direction.

tan θ = y = 4,900 m

x 19,600 m

θ = 14.0°

Don't forget to answer the question.

Camp B is 20,200 m away from base camp at an angle of elevation of 14.0°.