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Answer:
d ≈ 3.49 units
Step-by-step explanation:
Use the distance formula for polar coordinates to determine the distance:
[tex]d = \sqrt{r_{1} ^{2}+r_{2} ^{2}-2r_{1}r_{2}cos(0_{1}- 0_{2} ) }[/tex] (The '0' is supposed to be theta)
Plug in the values given in the question. Convert radians to degrees to simplify the process.
217π/180 = 217°
-23π/36 = -115°.
Therefore:
[tex]d = \sqrt{7 ^{2}+5 ^{2}-2(7)(5)cos(217-(-115) ) }[/tex]
Begin simplifying:
[tex]d = \sqrt{74-70cos(332) }[/tex]
[tex]d = \sqrt{74-61.81 }[/tex]
Solve:
[tex]d = \sqrt{12.19 }[/tex]
d ≈ 3.49 units
