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.

Assuming that it is, the three bodies form a right triangle  with the earth at the right angle, just as you've described it and not shown it.then 'y' is the side of triangle opposite the angle 'x', and the side adjacent tothe angle 'x' is the unknown distance.the tangent of an acute angle in a right triangle is                                  (opposite side) divided by (adjacent side) .so we may write            tangent(x) = y / (unknown distance) .multiply each side by  (unknown distance):           (unknown distance) (tangent(x)) = ydivide each side by tangent(x):       unknown distance = y / tangent(x) .since the values of both quantities on the right, our intrepid investigator  can repair to his lab at any time and easily calculate the unknown distance.

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