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Get Full Access to Conceptual Physics - 12 Edition - Chapter 1 - Problem 8e
Get Full Access to Conceptual Physics - 12 Edition - Chapter 1 - Problem 8e

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# The shadow cast by a vertical pillar in Alexandria at noon

ISBN: 9780321909107 29

## Solution for problem 8E Chapter 1

Conceptual Physics | 12th Edition

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Problem 8E

The shadow cast by a vertical pillar in Alexandria at noon during the summer solstice is found to be 1/8 the height of the pillar. The distance between Alexandria and Syene is 1/8 Earth’s radius. Is there a geometric connection between these two 1-to-8 ratios?

Step-by-Step Solution:
Step 1 of 3

As per the question, the actual height and the shadow length of the vertical pillar is x and x/8 say. By this information we can calculate the length of the line joining the end of the shadow and the top of the building. That’s what we can deduce from such information by the use of pythagoras theorem and by some trigonometric identities. Bus as one more data is given as the distance between two places on earth is th of earth’s radius, it has nothing to do with the previous information. Both are independent and there is no geometrical connection between these two. These two 1:8 ratios are completely accident and there is no mathematical or geometrical reasoning between them.

Step 2 of 3

Step 3 of 3

##### ISBN: 9780321909107

This full solution covers the following key subjects: alexandria, pillar, noon, distance, during. This expansive textbook survival guide covers 45 chapters, and 4650 solutions. Since the solution to 8E from 1 chapter was answered, more than 489 students have viewed the full step-by-step answer. The answer to “The shadow cast by a vertical pillar in Alexandria at noon during the summer solstice is found to be 1/8 the height of the pillar. The distance between Alexandria and Syene is 1/8 Earth’s radius. Is there a geometric connection between these two 1-to-8 ratios?” is broken down into a number of easy to follow steps, and 45 words. This textbook survival guide was created for the textbook: Conceptual Physics, edition: 12. Conceptual Physics was written by and is associated to the ISBN: 9780321909107. The full step-by-step solution to problem: 8E from chapter: 1 was answered by , our top Physics solution expert on 04/03/17, 08:01AM.

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