How would I figure out the mileage distance from ( 40.8671576 , -82.3071864 ) to (39.970, -83.001) using the mileage distance formula, √(69.1(x2 – x1))² + (53(y2 – y1))² ?

I got lost after subtracting both the x2 and x1 and the y2 and y1.

Question

How would I figure out the mileage distance from ( 40.8671576 ,  -82.3071864 ) to (39.970, -83.001) using the mileage distance formula, √(69.1(x2 – x1))² + (53(y2 – y1))² ?

I got lost after subtracting both the x2 and x1 and the y2 and y1.

anonymous · Answer

v(69.1(40.8671576 – 39.970))² + (53( -82.3071864 – -83.001))²
v(69.1(0.8971576))² + (53( 0.6938136))²

phi · Answer

I never saw a "mileage distance formula"

but look more closely,  it looks like you square ( 69.1* 0.8971576)
and then add that to the square of (53 * 0.6938136)

finally, take the square root.

anonymous · Answer

I did that but the answer was way off what It should be close to

anonymous · Answer

v(69.1(40.8671576 – 39.970))² + (53( -82.3071864 – -83.001))²
v(69.1(0.8971576))² + (53( 0.6938136))²
v(69.1*0.80489175923776)+(53*0.48137731154496)
v(55.618020563329216 + 25.51299751188288)
v(81.131018075212096)
9.007275840963909105678664285027

This was my work but it doesn't look right.

goformit100 · Answer

"Welcome to OpenStudy. I can guide regarding this useful site; ask your doubts from me, for it you can message me. Please use the chat for off topic questions. And remember to give the helper a medal, by clicking on "Best Answer". We follow a code of conduct, ( http://openstudy.com/code-of-conduct ). Please take a moment to read it."

phi · Answer

v(69.1(40.8671576 – 39.970))² + (53( -82.3071864 – -83.001))²
v(69.1(0.8971576))² + (53( 0.6938136))²

at the next step you should do
(69.1 *0.8971576)^2  + (53*0.6938136))^2
(61.9935902)^2  + (36.7721208)^2

now square both numbers and add up
5,195.39409401533

finally, take a square root.

$$ \sqrt{5,195.39409401533}$$