Question

FAN AND MEDAL AND TESTIMONY

The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:

Answer 1

A scientist measures the angle x and the distance y between the Sun 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 moon.

Answer 2

@TheFineeve297 @thecloudcatcher @Maddog1456 @Atsie @lalalander Tagging you all in hopes you can help. If not then I understand

Answer 3

see we know that by the following figure the positions of sun, moon and earth make a right angled triangle, where the sun position is known and distance between moon and sun is known and y is the distance between sun and moon so by applying sine x= y/ distance between moon and earth you get the distance between sun and moon

Answer 4

My answer is: If you know the measure of angle x and the hypoteneuse, this allows you to solve for the sine of x and figure out the distance between the earth and moon. You'll first get the equation for the sine of x in the following manner: sin(x)=d/y (d = distance). You can then isolate the variable by moving the y over and solve to get the missing side.

Answer 5

Would it also be an inverted sine since the angle is missing?

Answer 6

@TheFineeve297 Could you please help with a few more? I'll post them seperately so i can award you a medal for each