SOLUTION: The Moon is an angular size of 0.53 degrees and orbits a distance of 3.84x10^5 km from the Earth. Based on that data, what is the diameter of the moon in km?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: The Moon is an angular size of 0.53 degrees and orbits a distance of 3.84x10^5 km from the Earth. Based on that data, what is the diameter of the moon in km?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 216013: The Moon is an angular size of 0.53 degrees and orbits a distance of 3.84x10^5 km from the Earth. Based on that data, what is the diameter of the moon in km?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The Moon is an angular size of 0.53 degrees and orbits a distance of 3.84x10^5 km from the Earth. Based on that data, what is the diameter of the moon in km?
------------
tan(0.53/2) = r/d
r = 3.84E5*tan(0.53/2)
r = 1776 km
diameter = 3552 km
-------------
3475 is the commonly used value for the diameter of the moon