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30 August, 00:34

The moon forms a right triangle with the Earth and the sun during one of its phases, as shown below. A scientist measures the angle x and the distance y between the Earth and the sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and the sun.

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  1. 30 August, 01:37
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    Using the Law of Sines (sina/A=sinb/B=sinc/C for any triangle)

    sinx/y=sin90/d and since sin90=1 we can say that that distance from moon to sun is:

    d=y/sinx
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