To determine How high would the center of the rail rise above the ground? Explanation Given: Suppose a railroad rail is 1 kilometer long and it expands on a hot day by 10 centimeters in length. Approximately how high would the center of the rail rise above the ground? Formula Used: hypotenuse= base 2 +height 2 Calculation: Since the expanded length is short as compared to the original length of the rail, we can approximate the curved rail with two straight lines so that we have two triangles and the Pythagorean Theorem can be applied. Now, the original length of the rail is the bases of the two right triangles together, i.e., 1 kilometer such that each of the bases is ½ kilometer (500meter) long. The hypotenuses together are the expanded length of the rail which is 1 kilometer + 10 centimeters so each of the hypotenuse length is ½ kilometer+ 5 centimeters which is equal to; 500 meters + 0.05 meters = 500.05 meters. Thus, the height of the rail raised above the ground is the height of the triangles: Height of triangle= (500 .05) 2 -(500) 2 = 250050 ...

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ISBN: 9780135237236

Author: Bennett

Publisher: PEARSON

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Chapter 2.C, Problem 13E

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How high would the center of the rail rise above the ground?

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Chapter 2.C, Problem 12E

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