Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 8 - Geometry - 8.8 Pythagorean Theorem - 8.8 Exercises - Page 594: 50


$\approx84.9$ feet

Work Step by Step

In Exercise 48 we used the Pythagorean theorem to find the hypotenuse of the right triangle. Instead we can use proportions and the information in Exercise 47 to obtain the same answer. We know that in Exercise 47, a major league baseball diamond has sides of length 90 feet and the hypotenuse (length from home plate to 2nd base) of 127.3 feet. We can use this information to set up a proportion with the diamond in Exercise 48: $\displaystyle \frac{x~(hypotenuse)}{60~feet}=\frac{127.3~feet}{90~feet}$ Cross-multiply: $90x=127.3*60$ $90x=7638$ $x=7638/90$ $x\approx84.9$ feet This matches our answer to Exercise 48.
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