Ascientist measures the angle x and the distance y between the earth and the moon. using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the earth and the sun.

Let the distance between the earth and the sun be denoted as 'z'.
From the trigonometric rules:
tan(theta)=opposite/adjacent

In this case: theta=x , opposite=y and adjacent=z

tan(x)=y/z
All terms in the equation are known except for 'z'.
therefore the distance between the earth and the sun denoted by the symbol 'z' is equal to: y/tanx