glamrockqueen7
2021-08-17
Answered

Suppose, the blocks in your hometown are all squares. You're given the directions to go north 3 blocks, turn east and go 5 blocks, turn south and go 7 blocks, then to turn west and go 3 blocks. How far away is the restaurant in a straight line distance? Express your answer in blocks.

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timbalemX

Answered 2021-08-18
Author has **108** answers

Let the directions south and north be the y-axel and the west-east directions be the x-axel:

The total x: 5-3=2

The total y: 3-7=-4

So let the starting point be (0,0), then the finish point would be (2,-4). If we imagine the way as a right triangle, the straight-line distance would be the hypothenuse. Use the Pythagorean Theorem:

$d}^{2}={2}^{2}+{(-4)}^{2$

$d=\sqrt{4+16}$

$d=\sqrt{20}$

Calculate:

$d\approx 4.47$

The straight-line distance would be approximately 4.47 blocks.

The total x: 5-3=2

The total y: 3-7=-4

So let the starting point be (0,0), then the finish point would be (2,-4). If we imagine the way as a right triangle, the straight-line distance would be the hypothenuse. Use the Pythagorean Theorem:

Calculate:

The straight-line distance would be approximately 4.47 blocks.

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