The line segment with endpoints (−20, 21) and (0, 0) is graphed on the standard coordinate plane and makes an angle, θ, with respect to the x axis. what is cos θ? a) − 20 29 b) − 29 20 c) − 20 21 d) 21 29

See the attached figure to better understand the problem
Let
A (−20, 21)
B (0, 0) 

step 1
find the distance AB
d=√[(y2-y1)²+(x2-x1)²]------> d=√[(0-21)²+(0+20)²]
d=√841------> d=29 units

step 2
find cos ∅

cos ∅=adjacent side angle ∅ /hypotenuse
adjacent side angle ∅=20 units
hypotenuse=distance AB=29 units
so
cos ∅=-20/29-----> is negative because ∅ belong to the II quadrant

the answer is
cos ∅=-20/29

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