Question

If a point on the Cartesian plane lies at (4, 2), what is the angle made between the line containing the point and the origin, and the negative y-axis?

a) 1.249 radians

b) 0.463 radians

c) 0.523 radians

d) 1.047 radians

Answer 1

well first what is the angle of line above the x axis ?
tan theta = 2/4 = 1/2
so theta = 26.565 degrees above x axis
that means it is also 26.565 degrees below the negative x axis
we want angle from there to 90 degrees below the x axis
90 - 26.56 = 63.43 degrees to straight down
63.43 * pi/180 =

Answer 2

b would be to the negative X axis.
typo?

Answer 3

make a sketch, and mark the angle you want

slope of the line is 1/2
so the tangent of the angle = 1/2

set your calculator to radians, angle in standard position would be .4636...
then your angle = (π/2 - .4636) = 1.107 radians, I don't see that answer

Answer 4

I suspect a typo, means negative X axis

Answer 5

When i searched this question on google, some of the answers were saying b, so i typed b

Answer 6

"anonymous" is edging toward being banned if s/he continues to randomly hand out answers.
Be aware.