Space Station 1: Ivan is in a space station orbiting Earth. He has the job of observing

Chapter 6, Problem 14

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Space Station 1: Ivan is in a space station orbiting Earth. He has the job of observing the motion of two communications satellites. a. As Ivan approaches the two satellites, he finds that one of them is 8 km away, the other is 11 km away, and the angle between the two (with Ivan at the vertex) is 120. How far apart are the satellites? b. A few minutes later, Satellite No. 1 is 5 km from Ivan and Satellite No. 2 is 7 km from Ivan. At this time, the two satellites are 10 km apart. At which of the three space vehicles does the largest angle of the resulting triangle occur? What is the measure of this angle? What is the area of the triangle? c. Several orbits later, only Satellite No. 1 is visible, while Satellite No. 2 is near the opposite side of Earth (Figure 6-7i). Ivan determines that angle A is 37.7, angle B is 113, and the distance between him and Satellite No. 1 is 4362 km. Correct to the nearest kilometer, how far apart are Ivan and Satellite No. 2?