Explanation Approach: Consider the divine proportion, h w = w h + w If h = 1 , solve the resulting equation for w. 1 w = w 1 + w 1 + w = w 2 w 2 − w − 1 = 0 w = 1 ± ( − 1 ) 2 − 4 ( 1 ) ( − 1 ) 2 ( 1 ) w = 1 ± 5 2 Since w is a length, so we disregard the negative value of w. ∴ w = 1 + 5 2 ≈ 1

13th Edition

ISBN: 9781285697734

Author: karl J. smith

Publisher: Cengage Learning US

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Chapter 7.6, Problem 7PS

To determine

To find:

The ratio of width to height and compare it with τ.

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Chapter 7 Solutions

Nature of Mathematics

Ch. 7.1 - Is the woman in the figure a young woman or an old...Ch. 7.1 - Is the fly in the Figure 7.11 on the cube or in...Ch. 7.1 - Prob. 3PS Ch. 7.1 - Prob. 4PS Ch. 7.1 - Prob. 5PS Ch. 7.1 - Prob. 6PS Ch. 7.1 - Prob. 7PS Ch. 7.1 - Prob. 8PS Ch. 7.1 - Prob. 9PS Ch. 7.1 - Prob. 10PS

Ch. 7.1 - Prob. 11PS Ch. 7.1 - Prob. 12PS Ch. 7.1 - Prob. 13PS Ch. 7.1 - Prob. 14PS Ch. 7.1 - Prob. 15PS Ch. 7.1 - Prob. 16PS Ch. 7.1 - Prob. 17PS Ch. 7.1 - Prob. 18PS Ch. 7.1 - Use the illustration in Figure 7.12 to draw the...Ch. 7.1 - Prob. 20PS Ch. 7.1 - Prob. 21PS Ch. 7.1 - Prob. 22PS Ch. 7.1 - Prob. 23PS Ch. 7.1 - Prob. 24PS Ch. 7.1 - Prob. 25PS Ch. 7.1 - Prob. 26PS Ch. 7.1 - Prob. 27PS Ch. 7.1 - Carry out the constructions requested in Problems...Ch. 7.1 - Prob. 29PS Ch. 7.1 - Prob. 30PS Ch. 7.1 - Prob. 31PS Ch. 7.1 - Prob. 32PS Ch. 7.1 - Prob. 33PS Ch. 7.1 - Prob. 34PS Ch. 7.1 - Prob. 35PS Ch. 7.1 - Prob. 36PS Ch. 7.1 - Prob. 37PS Ch. 7.1 - Prob. 38PS Ch. 7.1 - Prob. 39PS Ch. 7.1 - Prob. 40PS Ch. 7.1 - Prob. 41PS Ch. 7.1 - Prob. 42PS Ch. 7.1 - Prob. 43PS Ch. 7.1 - Prob. 44PS Ch. 7.1 - Prob. 45PS Ch. 7.1 - Prob. 46PS Ch. 7.1 - Prob. 47PS Ch. 7.1 - Prob. 48PS Ch. 7.1 - Prob. 49PS Ch. 7.1 - Prob. 50PS Ch. 7.1 - Prob. 51PS Ch. 7.1 - Study the patterns shown in Figure 7.13. 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At the same...Ch. 7.4 - Prob. 48PS Ch. 7.4 - Prob. 49PS Ch. 7.4 - Prob. 50PS Ch. 7.4 - Prob. 51PS Ch. 7.4 - Prob. 52PS Ch. 7.4 - Prob. 53PS Ch. 7.4 - Prob. 54PS Ch. 7.4 - Prob. 55PS Ch. 7.4 - Suppose a 6- ft person wishes to determine the...Ch. 7.4 - Prob. 57PS Ch. 7.4 - Prob. 58PS Ch. 7.4 - Prob. 59PS Ch. 7.4 - Prob. 60PS Ch. 7.5 - Prob. 1PS Ch. 7.5 - Prob. 2PS Ch. 7.5 - Prob. 3PS Ch. 7.5 - Prob. 4PS Ch. 7.5 - Prob. 5PS Ch. 7.5 - Prob. 6PS Ch. 7.5 - Prob. 7PS Ch. 7.5 - Prob. 8PS Ch. 7.5 - Prob. 9PS Ch. 7.5 - Prob. 10PS Ch. 7.5 - Prob. 11PS Ch. 7.5 - Prob. 12PS Ch. 7.5 - Prob. 13PS Ch. 7.5 - Prob. 14PS Ch. 7.5 - Prob. 15PS Ch. 7.5 - Prob. 16PS Ch. 7.5 - Prob. 17PS Ch. 7.5 - Prob. 18PS Ch. 7.5 - Prob. 19PS Ch. 7.5 - Prob. 20PS Ch. 7.5 - Prob. 21PS Ch. 7.5 - Prob. 22PS Ch. 7.5 - Prob. 23PS Ch. 7.5 - Prob. 24PS Ch. 7.5 - Prob. 25PS Ch. 7.5 - Prob. 26PS Ch. 7.5 - Prob. 27PS Ch. 7.5 - Prob. 28PS Ch. 7.5 - Prob. 29PS Ch. 7.5 - Prob. 30PS Ch. 7.5 - Prob. 31PS Ch. 7.5 - Prob. 32PS Ch. 7.5 - Prob. 33PS Ch. 7.5 - Prob. 34PS Ch. 7.5 - Prob. 35PS Ch. 7.5 - Prob. 36PS Ch. 7.5 - Prob. 37PS Ch. 7.5 - Prob. 38PS Ch. 7.5 - Prob. 39PS Ch. 7.5 - Prob. 40PS Ch. 7.5 - Prob. 41PS Ch. 7.5 - Prob. 42PS Ch. 7.5 - Prob. 43PS Ch. 7.5 - Prob. 44PS Ch. 7.5 - Prob. 45PS Ch. 7.5 - Prob. 46PS Ch. 7.5 - Prob. 47PS Ch. 7.5 - Level 2 If the angle from the horizontal to the...Ch. 7.5 - Prob. 49PS Ch. 7.5 - Prob. 50PS Ch. 7.5 - Prob. 51PS Ch. 7.5 - Prob. 52PS Ch. 7.5 - Prob. 53PS Ch. 7.5 - Prob. 54PS Ch. 7.5 - Prob. 55PS Ch. 7.5 - Prob. 56PS Ch. 7.5 - Prob. 57PS Ch. 7.5 - Prob. 58PS Ch. 7.5 - Prob. 59PS Ch. 7.5 - Problem solving Level 3 a. If the distance from...Ch. 7.6 - Prob. 1PS Ch. 7.6 - Prob. 2PS Ch. 7.6 - Prob. 3PS Ch. 7.6 - Prob. 4PS Ch. 7.6 - Prob. 5PS Ch. 7.6 - Prob. 6PS Ch. 7.6 - Prob. 7PS Ch. 7.6 - Prob. 8PS Ch. 7.6 - Prob. 9PS Ch. 7.6 - Prob. 10PS Ch. 7.6 - Prob. 11PS Ch. 7.6 - Prob. 12PS Ch. 7.6 - Name the geometry Euclidean, elliptic, or...Ch. 7.6 - Prob. 14PS Ch. 7.6 - Prob. 15PS Ch. 7.6 - Prob. 16PS Ch. 7.6 - Prob. 17PS Ch. 7.6 - Prob. 18PS Ch. 7.6 - Prob. 19PS Ch. 7.6 - Prob. 20PS Ch. 7.6 - Prob. 21PS Ch. 7.6 - Prob. 22PS Ch. 7.6 - Prob. 23PS Ch. 7.6 - Prob. 24PS Ch. 7.6 - Prob. 25PS Ch. 7.6 - Prob. 26PS Ch. 7.6 - Prob. 27PS Ch. 7.6 - Prob. 28PS Ch. 7.6 - Consider the top, front, and side views as shown...Ch. 7.6 - Prob. 30PS Ch. 7.6 - Prob. 31PS Ch. 7.6 - Prob. 32PS Ch. 7.6 - Prob. 33PS Ch. 7.6 - Prob. 34PS Ch. 7.6 - Prob. 35PS Ch. 7.6 - Prob. 36PS Ch. 7.6 - Prob. 37PS Ch. 7.6 - Prob. 38PS Ch. 7.6 - Prob. 39PS Ch. 7.6 - Prob. 40PS Ch. 7.6 - Prob. 41PS Ch. 7.6 - Prob. 42PS Ch. 7.6 - Prob. 43PS Ch. 7.6 - Prob. 44PS Ch. 7.6 - Prob. 45PS Ch. 7.6 - Prob. 46PS Ch. 7.6 - Prob. 47PS Ch. 7.6 - Prob. 48PS Ch. 7.6 - Prob. 49PS Ch. 7.6 - Prob. 50PS Ch. 7.6 - Prob. 51PS Ch. 7.6 - Prob. 52PS Ch. 7.6 - Prob. 53PS Ch. 7.6 - Prob. 54PS Ch. 7.6 - When is an open book a closed book? If the...Ch. 7.6 - Prob. 56PS Ch. 7.6 - Prob. 57PS Ch. 7.6 - Prob. 58PS Ch. 7.6 - Prob. 59PS Ch. 7.CR - Prob. 1CR Ch. 7.CR - Prob. 2CR Ch. 7.CR - Prob. 3CR Ch. 7.CR - Prob. 4CR Ch. 7.CR - Prob. 5CR Ch. 7.CR - Prob. 6CR Ch. 7.CR - 7. Bourbon Palace Figure 7.77 is home to the...Ch. 7.CR - Prob. 8CR Ch. 7.CR - Prob. 9CR Ch. 7.CR - Prob. 10CR Ch. 7.CR - Prob. 11CR Ch. 7.CR - Prob. 12CR Ch. 7.CR - Prob. 13CR Ch. 7.CR - Prob. 14CR Ch. 7.CR - Prob. 15CR Ch. 7.CR - Prob. 16CR Ch. 7.CR - Prob. 17CR Ch. 7.CR - Prob. 18CR Ch. 7.CR - Prob. 19CR Ch. 7.CR - Prob. 20CR

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