If a force of 30 pounds is directed 30° from the vertical, what vector represents this force?

Question

If a force of 30 pounds is directed 30° from the vertical, what vector represents this force?

A.)-15i-15√3j

B.)15i+15√3j

C.)-15i+15√3j

D.)15i-15√3j

Answer 1

90deg - 30deg = 60 degrees

cos(60) = 1/2

sin(60) = sqrt(3) / 2

30 * 1/2 = 15

30 * sqrt(3) / 2 = 15 sqrt(3)

B if its the vector is pointing towards quadrant 1