Solving Distance Problems

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Problem 2

To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

Step 1:
Draw a diagram of the problem:

Step 2:
Setup the equation a² + b² = c²
41² + 34² = c²

Step 3:
Now solve:
41² + 34² = c²
1681 + 1156 = c²
2837 = c²
√2837 = c
53.3 = c
So walking from point A south 34 m + walking east 41 m = 75 m
Walking from point A to B through the pond is 53.3 m
So the amount of meters saved by walking through the pond is 75 m -- 53.3 m = 22 meters

A “Distance-Rate-Time” -- type of word problem

By Carl Rodriguez

http://www.acethecset.com

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