Question

You are traveling from Milwaukee (9, 17) to St. Louis (7, 10). Each unit on the map is 50 miles. How many miles did you travel? Round your answer to the nearest tenth.

Answer 1

364 miles

Explanation:

You want to know the distance from (9, 17) to (7, 10) if each unit on the map represents 50 miles.

Distance

The map distance can be found using the distance formula:

d = √((x1 -x1)² +(y2 -y1)²)

d = √((7 -9)² +(10 -17)²) = √((-2)² +(-7)²) = √53 ≈ 7.28011

Ground Distance

The distance on the ground is 50 miles for each map unit, so is ...

(50 mi)(7.28011) = 364.0055 ≈ 364.0

You travel about 364.0 miles.

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