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Solving Applications Using the Pythagorean Theorem lores and Marianne are playing Pokemon Go. They start off in the same spot and walk in perpendicular directions to chase their Pokemon. igure A shows their paths and the locations where they each catch a Pokemon. Note: The small squares in the grid have side lengths of one yard and areas of 1 square yard.) Figure A Dolores start Marianne

Solving Applications Using the Pythagorean Theorem lores and Marianne are playing Pokemon Go. They start off in the same spot and walk in perpendicular directions to chase their Pokemon. igure A shows their paths and the locations where they each catch a Pokemon. Note: The small squares in the grid have side lengths of one yard and areas of 1 square yard.) Figure A Dolores start Marianne

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Solving Applications Using the Pythagorean Theorem** Dolores and Marianne are playing Pokemon Go. They start off in the same spot and walk in perpendicular directions to chase their Pokemon. **Figure A** shows their paths and the locations where they each catch a Pokemon. *(Note: The small squares in the grid have side lengths of one yard and areas of 1 square yard.)* --- **Figure A Explanation:** - The grid represents a coordinate plane where each square is 1 yard by 1 yard. - Dolores' path is marked by a red line that extends vertically from the starting point. - Marianne's path is marked by a blue line that extends horizontally from the starting point. - The paths of Dolores and Marianne form a right triangle, with the starting point as the right angle. - The dotted black line represents the hypotenuse of the triangle, illustrating the direct distance between Dolores and Marianne at their respective endpoints. This diagram can be used to apply the Pythagorean Theorem to calculate the distance between Dolores and Marianne by using the formula \(a^2 + b^2 = c^2\), where \(c\) is the hypotenuse.
Transcribed Image Text:**Solving Applications Using the Pythagorean Theorem** Dolores and Marianne are playing Pokemon Go. They start off in the same spot and walk in perpendicular directions to chase their Pokemon. **Figure A** shows their paths and the locations where they each catch a Pokemon. *(Note: The small squares in the grid have side lengths of one yard and areas of 1 square yard.)* --- **Figure A Explanation:** - The grid represents a coordinate plane where each square is 1 yard by 1 yard. - Dolores' path is marked by a red line that extends vertically from the starting point. - Marianne's path is marked by a blue line that extends horizontally from the starting point. - The paths of Dolores and Marianne form a right triangle, with the starting point as the right angle. - The dotted black line represents the hypotenuse of the triangle, illustrating the direct distance between Dolores and Marianne at their respective endpoints. This diagram can be used to apply the Pythagorean Theorem to calculate the distance between Dolores and Marianne by using the formula \(a^2 + b^2 = c^2\), where \(c\) is the hypotenuse.
The red vertical line represents the path Dolores walked. How far did Dolores walk before she caught a Pokemon? [_____] yards The blue horizontal line represents the path Marianne walked. How far did Marianne walk before she caught a Pokemon? [_____] yards What is the distance between the spot where Marianne caught a Pokemon and the spot where Dolores caught a Pokemon? [_____] yards *Round your result to two decimal places as needed.*
Transcribed Image Text:The red vertical line represents the path Dolores walked. How far did Dolores walk before she caught a Pokemon? [_____] yards The blue horizontal line represents the path Marianne walked. How far did Marianne walk before she caught a Pokemon? [_____] yards What is the distance between the spot where Marianne caught a Pokemon and the spot where Dolores caught a Pokemon? [_____] yards *Round your result to two decimal places as needed.*
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