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Need help on a precalculus question?
Find the distance that the earth travels in eight days in its path around the sun. Assume that a year has 365 days and that the path of the earth around the sun is a circle of radius 93 million miles. [Note: The path of the earth around the sun is actually an ellipse with the sun at one focus (see Section 11.2). This ellipse, however, has very small eccentricity, so it is nearly circular.] (Round your answer to one decimal place.)
3 Answers
- 冷眼旁觀Lv 71 year ago
It is assumed that a year has 365 days.
This means that the Earth travels 365 days to complete the circumference.
Distance traveled in 8 days
= Circumference × (8/365)
= 2 π r × (8/365)
= 2 × 3.1416 × 93 × (8/365) million miles
= 12.8 million miles
- Anonymous1 year ago
How is this 'precalculus'? this is barely algebra.
You know the time it takes the Earth to make one circuit around the sun. You know the radius of the Earth's orbit, you can calculate the distance for one orbit also called the circumference of the circle.
8 days / 365.25 * circumference of the circle = distance.
