kamryn3stargell kamryn3stargell

22-03-2018
Mathematics

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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?

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calculista calculista

31-03-2018

we have that
points (−20, 21) and (0, 0)
Let
A----> (−20, 21)
B-----> (0, 0)

using a graph tool
see the attached figure

step 1

find the distance AB

applying the Pythagorean theorem

AB²=20²+21²--------> 841---------> AB=√841-------> 29
AB=29 units

cos Θ=20/29-------> 0.6897

the angle Θ belong to the second quadrant
therefore
the cosΘ is negative

the answer is
the cos Θ is -0.6897

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