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Home / 08 Trigonometric Functions / 46 Applications To Astronomy

Example: In a previous example/homework problem, we determined that the distance to the moon is approximately \(235,000\) miles. This is approximate for a few reasons, not the least of which is that the moon's orbit is not perfectly circular and it will drift closer and further away. In this scenario, we will be measuring the angle between the moon and the sun at sunset when the moon is exactly half full. Presuming we had the tools to allow for at least a few thousandths of a degree of accuracy, we would find that the angle measured is \(89.857^\circ\). We can use this measurement along with the distance to the moon to calculate an approximate distance from Earth to the sun.


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