Question

The diameter of the Moon is 3.78x10^6m. It subtends an angle of .00982 radians at the surface of Earth. How far is the Moon from Earth? (Please explain I can't wrap my head around this question.)

Answer 1

Arc length = angle * r

3.78*10^6 = r* .00982

r = radius (length moon is from earth)

http://www.coolmath.com/reference/circles-trigonometry.html

Answer 2

Ohhhh, I was using the radius of the moon as the r instead of the arc length… I feel dumb haha Thank you, Greatly appreciated!!

Answer 3

Don't feel dumb.. Glad you understand it now.