Explanation Given: To get to a cabin, you have a choice of either riding a bicycle west from a parking lot along the edge of a rectangular reservoir for 1.2 miles and then south along the edge of the reservoir for 0.9 miles or rowing a boat directly from the parking lot. You can ride 1.5 times as fast as you can row. Concepts Used: 1. Pythagoras theorem: In a right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides. 2. Time = Distance Speed Calculation: The diagram below is of the rectangular reservoir where the point D represents the parking lot and the point C represents the cabin. Using Pythagoras theorem, we will calculate the length BD which is the distance that would be required to travel by rowing a boat directly from the parking lot to the cabin. (BD) 2 = (AB) 2 +(AD) 2 =(0.9) 2 +(1.2) 2 =2.25 Thus, BD = 2.25 = 1.5 miles Distance to be travelled by bicycle =1.2 + 0.9 = 2...

Using & Understanding Mathematics: A Quantitative Reasoning Approach with Integrated Review, Loose-Leaf Edition Plus MyLab Math with Pearson eText -- 18 Week Access Card Package

7th Edition

ISBN: 9780136698425

Author: Bennett, Jeffrey, Briggs, William

Publisher: PEARSON

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Chapter 10.B, Problem 85E

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Which is the faster route: riding a bicycle or rowing a boat?

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Chapter 10.B, Problem 84E

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Using & Understanding Mathematics: A Quantitative Reasoning Approach with Integrated Review, Loose-Leaf Edition Plus MyLab Math with Pearson eText -- 18 Week Access Card Package

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