A car starts from the origin and is driven 1.72 km south, then 3.11 km in a direction 58° north of east. Relative to the origin, what is the car's final location? Express your answer in terms of an angle (in degree)

Question

A car starts from the origin and is driven 1.72 km south, then 3.11 km in a direction 58° north of east. Relative to the origin, what is the car's final location? Express your answer in terms of an angle (in degree)
and a distance.

Henry · Answer

X = hor. = 3.11cos58 = 1.65km. Y=ver. = 3.11sin58 + (-1.72) = 0.92km. tanA = Y / X = 0.92 / 1.65 = 0.5560, A = 29.1 deg. R = X / cosA = 1.65 / cos29.1 = 1.89km @ 29.1 deg. North of East.