Question

I NEED HELP PLEASE, THANKS! :)

Answer 1

Hey there! :)

Answer:

d ≈ 3.49 units

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 = √(74-70cos(332) )`

`d = √(74-61.81 )`

Solve:

`d = √(12.19 )`

d ≈ 3.49 units