The line segment with endpoints (−20, 21) and (0, 0) is graphed on the standard coordinate plane and makes an angle, Θ, with res
pect to the x axis. What is cos Θ?
1 answer:
We have that
<span> points (−20, 21) and (0, 0)
Let
A----> </span>(−20, 21)
B-----> (0, 0)
using a graph tool
see the attached figure
step 1
find the distance AB
<span>applying the Pythagorean theorem
</span>
AB²=20²+21²--------> 841---------> AB=√841-------> 29
AB=29 units
cos <span>Θ=20/29-------> 0.6897
</span>
the angle <span>Θ belong to the second quadrant
therefore
the cos</span><span>Θ is negative
the answer is
the cos </span>Θ is -0.6897
<span> points (−20, 21) and (0, 0)
Let
A----> </span>(−20, 21)
B-----> (0, 0)
using a graph tool
see the attached figure
step 1
find the distance AB
<span>applying the Pythagorean theorem
</span>
AB²=20²+21²--------> 841---------> AB=√841-------> 29
AB=29 units
cos <span>Θ=20/29-------> 0.6897
</span>
the angle <span>Θ belong to the second quadrant
therefore
the cos</span><span>Θ is negative
the answer is
the cos </span>Θ is -0.6897
You might be interested in
Answer:
x intercept of CD = 17
Step-by-step explanation:
We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.
For that we need to find the equation of CD
we have coordinates of C , and hence if we have slope of CD we can find equation of CD
Slope of CD can be determine with the help of slope of AB as CD⊥ AB
So, the slope of CD
Hence we start from determining slope of AB
slope is given as
Hence
There fore
(∵ Product of Slopes of two perpendicular lines is always -1)
Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)
Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x
Hence the x intercept is 17
