SOLUTION: Given that the moon has an angular measure of .5 degrees on the sky and knowing that it has a diameter of 2000 miles, use this to determine its distance from the earth

Algebra.Com
Question 1033332: Given that the moon has an angular measure of .5 degrees on the sky and knowing that it has a diameter of 2000 miles, use this to determine its distance from the earth
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Given that the moon has an angular measure of .5 degrees on the sky and knowing that it has a diameter of 2000 miles, use this to determine its distance from the earth
=============
Using a right triangle with the side opposite = 2000 miles and the angle = 0.5 degs,
2000/d = tan(0.5)
d = 2000/tan(0.5)
d =~ 229177.3 miles
============================
Using the radius of 100 miles and and angle of 0.25 degs,
d =~ 229181.7 miles

RELATED QUESTIONS

Given that the moon has an angular measure of .5 degrees in the sky and knowing that it... (answered by Alan3354)
Given that the moon has an angular measure of .5 degrees in the sky and knowing that it... (answered by stanbon)
The Moon is an angular size of 0.53 degrees and orbits a distance of 3.84x10^5 km from... (answered by Alan3354)
The niagra falls sky wheel has a diameter of 50.5 m and rotates 1 revolution in 2... (answered by freakygurrl1231)
what is the diameter of a circle that has an arc with the measure of 100 degrees and an... (answered by jedidiah,rajagopalan)
A bicycle has wheels that are 26 inches in diameter. If the bike is traveling at 14 miles (answered by lwsshak3,adamhen894)
In 1999, scientists discovered a new class of black holes with masses 100 to 10,000 times (answered by josmiceli)
what is the weight of an object on the moon that has mass... (answered by solver91311)
A bicycle tire has a diameter of 24 inches. If the tire goes 10 miles an hour, what is... (answered by josmiceli)