With trigonometry cohsahtoa i need an explanation for this this is the only question i need with
the moon forms a right triangle with the earth and the sun during one of its phases, as shown below:
a right angle triangle is shown with the earth at the right angle. the acute angle between the line joining the earth and the sun and the sun and the moon is x degrees. the distance between the earth and the sun is y.
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.

So you know that the triangle is a right triangle, and that means that the work is pretty straightforward:
You 'know' the measure of angle x and one of the legs of the triangle, so when trying to find the distance of the second leg of the triangle, use the Tangent function because the tangent of angle x = opposite leg / adjacent leg.
Since we know the measure of the adjacent leg and the angle measure, solve for the opposite leg's measure:
tanx = opposite / y
opposite = y * tanx

This means that the distance between the Earth and the Moon is equal to the tangent of the angle of the sun's rays between the Earth and Moon times the distance between the Sun and Earth.