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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If someone can help me work out the problem we can do it together. I'm not looking just for an answer, I want to learn!
well think about the trigonometric functions. If the angle on the top right is a right angle. Lets call the distance from moon to sun z. well what function (sin cos or tan) will represent the all of the variables?
Well i know SOH CAH TOA
Would we try to find the cosine?
Because we need to find Z and Y?
ok, so you know that you can take the sin(x) = y/z or opposite over hypotenuse. Now given that you have the values of x and y, z is simply, by the algebraic simplification, y/sin(x). z is the hypotenuse.