Explanation Given: The length of each east-west block is 1 8 mile The length of each north-south block is 1 5 mile Formula used: The Pythagorean Theorem: h y p o t e n u s e = b a s e 2 + h e i g h t 2 Calculation: a.To walk the shortest possible distance (following the streets) between the given two locations, one will have to go 2 blocks west and then 3 blocks north. The total distance along this path is ( 2 × 1 8 m i ) + ( 3 × 1 5 m i ) = 1 4 m i + 3 5 m i = 5 + 12 20 m i = 17 20 m i = 0.85 m i b. From the figure 10.37, one can see that the distance “as the crow flies” is the hypotenuse of the right triangle. The horizontal and vertical sides of this triangle have lengths, respectively. From the Pythagorean theorem, the length of the hypotenuse is h y p o t e n u s e = b a s e 2 + h e i g h t 2 = ( 1 4 m i ) 2 + ( 3 5 m i ) 2 = ( 0...

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Chapter 10.B, Problem 53E

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In figure 10.37, for the given location: “The bus stop and the theater” determine the following:

a. Find the shortest possible walking distance (following the streets) between the two locations.

b. Find the straight-line distance (“as the crow flies”) between the two locations.

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Chapter 10.B, Problem 52E

Chapter 10.B, Problem 54E

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In figure 10.37, for the given location: “The bus stop and the theater” determine the following: a. Find the shortest possible walking distance (following the streets) between the two locations. b. Find the straight-line distance (“as the crow flies”) between the two locations.

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In figure 10.37, for the given location: “The bus stop and the theater” determine the following: a. Find the shortest possible walking distance (following the streets) between the two locations. b. Find the straight-line distance (“as the crow flies”) between the two locations.

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In figure 10.37, for the given location: “The bus stop and the theater” determine the following:

a. Find the shortest possible walking distance (following the streets) between the two locations.

b. Find the straight-line distance (“as the crow flies”) between the two locations.