Find the direction of the vector sum A⃗+B⃗ Express your answer as counterclockwise angle from x-axis to the vector.?

Also please show me your work.

Answer 1

x- component of B = 15 cos 60 = 7.5
y- component of B = 15 sin 60 = 15(sq rt 3) / 2
x- component of A = 0
y- component of B = -8

sum x = 7.5
sum y = -8 + 15(sq rt 3) / 2 … use tan T (T = theta)
tan T = [-8 + 15(sq rt 3) / 2] / 7.5
T = inv tan [-8 + 15(sq rt 3) / 2] / 7.5 = 33.639 degrees << answer

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