Scientist measures the angle x and the distance y between the sun and moon. explain how the scientist can use only two measurements to calculate the distance between the earth and moon

Observe Moon;s center on a Full Moon night from two places 100 km apart for parallax
θ
.. Then
α
= 100/6378 radian = 0.0156789 radian = 0.8983346 deg. The distance of the Moon then will be approximately 6378 sin(0.449167)/sin (
θ
/2). The other way about , if the distance is known to be 384000 km, theta is nearly 0.1492 deg = 54", nearly.. .

Hi there!

We first want to find what fraction of the area this sector is. We can do this by observing the central angle, and also recalling that there are 360 degrees in a full circle. This means that this sector makes up 48/360 of the whole circle, or 2/15.

This means that we know is equal to 2/15 of the whole circle. We can then multiply that by 15/2, as .

Which would be our answer. Expanding with pi = 3.14 gives us an area of 113.04.

Hope this helps! Feel free to let me know if you have any additional questions about this problem.