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Constructing a Highway A highway whose primary directions are north-south is being constructed along the west coast of Florida. Near Naples, a bay obstructs the straight path of the road. Since the cost of a bridge is prohibitive, engineers decide to go around the bay. The illustration shows the path that they decide on and the measurements taken. What is the length of highway needed to go around the bay?
![Check Mark](/static/check-mark.png)
To find: What is the length of highway needed to go around the bay?
Answer to Problem 33RE
The length of the highway is miles.
Explanation of Solution
Given:
A highway whose primary directions are north–south is being constructed along the west coast of Florida. Near Naples, a bay obstructs the straight path of the road. Since the cost of a bridge is prohibitive, engineers decide to go around the bay. The illustration shows the path that they decide on and the measurements taken.
![Precalculus Enhanced with Graphing Utilities, Chapter 8, Problem 33RE , additional homework tip 1](https://content.bartleby.com/tbms-images/9780134119281/Chapter-8/images/19281-8-33re.jpg)
Formula used:
Calculation:
Let , and .
![Precalculus Enhanced with Graphing Utilities, Chapter 8, Problem 33RE , additional homework tip 2](https://content.bartleby.com/tbms-images/9780134119281/Chapter-8/images/19281-8-33re1.jpg)
For the isosceles triangle,
The length of the highway .
Chapter 8 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Glencoe Math Accelerated, Student Edition
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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