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Q. 125

Expert-verified
Found in: Page 368

### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

# In Example 6, we found that the distance between Albuquerque, New Mexico, and Glasgow, Montana, is approximately 903 miles. According to mapquest.com, the distance is approximately 1300 miles. What might account for the difference?

The given internet site gives the exact distance between Glasgow and Albuquerque.

See the step by step solution

## Step 1. Given Information

In Example 6, we found that the distance between

Albuquerque, New Mexico, and Glasgow, Montana, is

approximately 903 miles.

But According to mapquest.com, the distance is approximately 1300 miles.

We have to find the differences.

## Step 2. Explanation of Example 6

When we calculated the distance between Glasgow and Albuquerque in Example 6, we

calculated their air distance (i.e. the shortest distance) - that is, the length of the arc between two cities lying on the same circle.

We did not take into account that there is no direct road to these two cities (a road may not have been built on that arc because a house, a shopping center, a museum, a school were built there. Or there is a forest, a lake...)

## Step 3. Mapquest distance

Mapquest.com shows the actual route from one city to another (the site is careful if there

are one-way streets, etc ..)

That is, the given internet site calculates how many miles a vehicle

travels by road (or highway) from one city to another.