Explorations: Introduction to Astronomy
Explorations: Introduction to Astronomy
9th Edition
ISBN: 9781260432183
Author: ARNY, Thomas
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 1, Problem 6P
To determine

The number of hours the Moon takes to move in its orbit, a distance equal to Earth’s diameter and how it is related to the time it takes for the lunar eclipse to occur.

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A 30-ft pole casts a shadow as shown in the figure. 30 ft (a) Express the angle of elevation 0 of the sun as a function of the length s of the shadow. (b) Find the angle 0 of elevation of the sun when the shadow is 35 ft long. (Round your answer to one decimal place.) An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highway, both on one side of the plane. If the angle of depression to one car is 38° and that to the other is 53°, how far apart are the cars? (Round your answer to the nearest foot.) ft To estimate the height of a mountain above a level plain, the angle of elevation to the top of the mountain is measured to be 32°. One thousand feet closer to the mountain along the plain, it is found that the angle of clevation is 36°. Estimate the height of the mountain. (Round your answer to the nearest foot.) ft
1.8. Having access to the vast informational resources of the Library of Alexandria, Eratosthenes knew that the distance between Syene and Alexandria is 5000 stadia. One stadion (plural stadia) was a unit of length commonly used at the time; it was approximately equal to 160 meters. Express the distance between Syene and Alexandria in meters: s = 1.9. Travelling from Syene to Alexandria, one travels along the arc of a circle. Recall that for a circle of radius R, the length s of an arc and the angle 0 subtended by that arc are related by the following equation: [8] In using this equation, the angle must be measured in radians. Use equation [8] to S = RO calculate the radius of Earth: R =
This is a mathematical problem by converting the distance from the sun to earth then using what ever is given!

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Explorations: Introduction to Astronomy

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