To determine The height if the tallest vehicle that can pass through the tunnel at a point 22 ft from the center. Explanation Definition used: Equation of an ellipse with center at ( 0 , 0 ) , and major axis along x-axis: “An equation of the ellipse with center at ( 0 , 0 ) , foci at ( ± c , 0 ) ( 0 , ± c ) , ends of the minor axis at ( 0 , ± b ) and vertices at ( ± a , 0 ) is x 2 a 2 + y 2 b 2 = 1 where a > b > 0 and b 2 = a 2 − c 2 .” Calculation: It is given that the tunnel is in shape of a semielliptical cross section with width 64 ft and height 18 ft. From the given figure, note that the major axis has length 64 ft. That is, 2 a = 64 a = 32 Also, from the figure, it can be noted that b = 18 . Substitute a = 32 and b = 18 in x 2 a 2 + y 2 b 2 = 1 to obtain the equation as follows:

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780135902912

Author: Allyn J. Washington

Publisher: PEARSON

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Chapter 21.5, Problem 53E

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The height if the tallest vehicle that can pass through the tunnel at a point 22 ft from the center.

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Chapter 21.5, Problem 52E

Chapter 21.5, Problem 54E

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Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

Ch. 21.1 - Find the distance between (−2, 6) and (5, −3). Ch. 21.1 - Prob. 2PE Ch. 21.1 - Prob. 1E Ch. 21.1 - Prob. 2E Ch. 21.1 - Prob. 5E Ch. 21.1 - In Exercises 5–14, find the distance between the...Ch. 21.1 - Prob. 7E Ch. 21.1 - Prob. 8E Ch. 21.1 - Prob. 9E Ch. 21.1 - Prob. 10E

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