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
a) 1.249 radians
b) 0.463 radians
c) 0.523 radians
d) 1.047 radians
Answers
Damon
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 =
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 =
Damon
b would be to the negative X axis.
typo?
typo?
Reiny
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
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
Damon
I suspect a typo, means negative X axis
anonymous
When i searched this question on google, some of the answers were saying b, so i typed b
Writeacher
"anonymous" is edging toward being banned if s/he continues to randomly hand out answers.
Be aware.
Be aware.