Question

PLEASE HELP WITH TRIGONOMETRY COHSAHTOA I NEED AN EXPLANATION FOR THIS THIS IS THE ONLY QUESTION I NEED HELP WITH

Answer 1

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.