Two satellites are in Earth's orbit and are 424 km apart. If an observer is 658 km away from satellite A and 471 km away from satellite B, what angle must the observer turn his telescope to change his view from one satellite to another?

Question

Two satellites are in Earth's orbit and are 424 km apart. If an observer is 658 km away from satellite A and 471 km away from satellite B, what angle must the observer turn his telescope to change his view from one satellite to another?
a. 40.0 degrees
b. 45.5 degrees
c. 50.0 degrees
d. 44.5 degrees

I know I have to use the SSS formula, but I don't know how to tell which is a, b, or c.

The formulas are:
cos A=(b^2+c^2-a^2)/(2bc)
cos B=(a^2+c^2-b^2)/(2ac)
cos C=(a^2+b^2-c^2)/(2ab)

CARISSa · Accepted Answer

For the practice check 1. D 2. B 3. A 4. B

Damon · Answer

C is the angle you want to know. Side c is the side opposite the angle C
c^2 = a^2 + b^2 -2 a b cos C
[ note, if C were 90 degrees you would have c^2 = a^2+b^2, makes it easy to see]
so
424^2 = 471^2 + 658^2 - 2*471*658 cos C

Lula · Answer

^^^100%

Miku · Answer

For the following quick check, the answers are 1. A) 1.7 2. D) 64.4 3. A) 140, E) 24, F) 16 4. C) 106 mi.

Bot · Answer

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