A city has streets laid out in a square grid, with each block 135 mm long. If you drive north for three blocks, then west for two blocks, ho

Question

A city has streets laid out in a square grid, with each block 135 mm long. If you drive north for three blocks, then west for two blocks, how far are you from your starting point? Express your answer in meters.

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Kinsley 3 months 2022-02-06T19:30:27+00:00 1 Answer 0 views 0

Answers ( )

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    2022-02-06T19:32:18+00:00

    Total distance traveled from the starting point = 487 mm (or) 0.487 m

    Solution:

    Given data:

    Length of each block = 135 mm

    Distance traveled towards North = three blocks

                                                          = 135 × 3

                                                          = 405

    Distance traveled towards North = 405 mm

    Distance traveled towards West = two blocks

                                                          = 135 × 2

                                                          = 270

    Distance traveled towards West = 270 mm

    Total distance traveled

                   [tex]=\sqrt{\text{Distance traveled in North}^2+\text{Distance traveled in West}^2}[/tex]

                   [tex]=\sqrt{405^2+270^2}[/tex]

                   [tex]=\sqrt{236925}[/tex]

                   [tex]=135\sqrt{13}[/tex]

                   = 487 mm (approximately)

    Total distance traveled from the starting point = 487 mm

    Let us convert mm to m.

    1 m = 1000 mm

    487 mm = 487 ÷ 1000 = 0.487 m

    Total distance traveled from the starting point = 0.487 m

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