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Distance to the Moon At exactly the same time, Tom and

Chapter 9, Problem 38

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QUESTION:

Distance to the Moon At exactly the same time, Tom and Alice measured the angle of elevation to the moon while standing exactly 300 km apart. The angle of elevation to the moon for Tom was 49.8974 and the angle of elevation to the moon for Alice was 49.9312. See the figure. To the nearest 1000 km, how far was the moon from Earth when the measurement was obtained?

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QUESTION:

Distance to the Moon At exactly the same time, Tom and Alice measured the angle of elevation to the moon while standing exactly 300 km apart. The angle of elevation to the moon for Tom was 49.8974 and the angle of elevation to the moon for Alice was 49.9312. See the figure. To the nearest 1000 km, how far was the moon from Earth when the measurement was obtained?

ANSWER:

Problem 38

Distance to the Moon At exactly the same time, Tom and Alice measured the angle of elevation to the moon while standing exactly 300 km apart. The angle of elevation to the moon for Tom was  and the angle of elevation to the moon for Alice was . See the figure. To the nearest 1000 km, how far was the moon from Earth when the measurement was obtained?

                                                             Step-by-step solution

Step 1 of 4

Here we are given the following figure, showing the positions of Tom and Alice from with respect to moon and we have to calculate the distance between moon and earth when the measurement was obtained.

        

        

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