Did I do this Geometry problem correctly?

Satellites, Sputnik, Yeltsin, and Plekov often temporarily line up in order in a great circle. The circumference of the Earth is 24,900 miles, and the satellites orbit at about 150 miles above the surface. If, while in a great circle, Sputnik is 9,000 miles from Yeltsin is 10,500 miles from Plekov, how far apart are Sputnik and Plekov?

I believe the answer's 25,842 miles. Is this correct?

Thank you!

Question

Did I do this Geometry problem correctly?

Satellites, Sputnik, Yeltsin, and Plekov often temporarily line up in order in a great circle. The circumference of the Earth is 24,900 miles, and the satellites orbit at about 150 miles above the surface. If, while in a great circle, Sputnik is 9,000 miles from Yeltsin is 10,500 miles from Plekov, how far apart are Sputnik and Plekov?

I believe the answer's 25,842 miles. Is this correct?

Thank you!

anonymous · Answer

one question... is the distance between the satellites a straight line or on a curve of the circle?

anonymous · Answer

Straight

anonymous · Answer

I hope @vacationeer is still here to read this. :)

anonymous · Answer

Oh yeah, I also have a small, simple, side question for you that no one answered earlier. 

Is this true in hyperbolic geometry? 

"Two linens parallel to a third line are parallel to each other"

Thank you!

anonymous · Answer

so its from point to point... directly.... lik....|dw:1355033764580:dw|

anonymous · Answer

yes

anonymous · Answer

please, i only have 1 minute left...

anonymous · Answer

ummm im not too sure.... for ur question above

anonymous · Answer

at least answer the other question if you can.

anonymous · Answer

*sigh* :(

anonymous · Answer

holy crap...... ummm im sry i cant do this in a minute...; :(

anonymous · Answer

if u want ill get bak to u later..