Question

I NEED HELP PLEASE, THANKS! :)

Answer 1

Hey there! :)

Answer:

d ≈ 3.49 units

Step-by-step explanation:

Use the distance formula for polar coordinates to determine the distance:

$d = \sqrt{r_{1} ^{2}+r_{2} ^{2}-2r_{1}r_{2}cos(0_{1}- 0_{2} ) }$ (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:

$d = \sqrt{7 ^{2}+5 ^{2}-2(7)(5)cos(217-(-115) ) }$

Begin simplifying:

$d = \sqrt{74-70cos(332) }$

$d = \sqrt{74-61.81 }$

Solve:

$d = \sqrt{12.19 }$

d ≈ 3.49 units