SOLUTION: Venus rotates in a nearly circular orbit around
the sun. The largest angle formed by Venus, Earth, and the
sun is 46.5°. The distance from Earth to the sun is approxi-
mately 1
Algebra.Com
Question 1139447: Venus rotates in a nearly circular orbit around
the sun. The largest angle formed by Venus, Earth, and the
sun is 46.5°. The distance from Earth to the sun is approxi-
mately 149 million kilometers. See the following figure.
What is the orbital radius r of Venus? Round to the nearest
million kilometers.
Figure with the solar system:
https://i.imgur.com/2CCxEYH.png
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
sin(46.5) = r/149000000/
:
Note the hypotenuse of a right triangle is opposite the right angle
:
r = 149000000 * sin(46.5) = 108080781.2808
:
*******************************************************
The orbital radius r of Venus is 108 million kilometers
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:
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