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Concept explainers
Finding the Distance to Shore The Willis Tower in chicago is 1454 feet tall and is situated about 1 mile inland from the shore of Lake Michigan, as indicated in the figure on the top right. An observer in a pleasure boat on the lake directly in front of the Willis Tower looks at the top of the tower and measures the angle of elevation as . How far offshore is the boat?
![Check Mark](/static/check-mark.png)
To find: How far off shore is the boat?
Answer to Problem 29RE
The boat is approximately or , from shore.
Explanation of Solution
Given:
The Willis Tower in Chicago is 1454 feet tall and is situated about 1 mile inland from the shore of Lake Michigan, as indicated in the figure on the top right. An observer in a pleasure boat on the lake directly in front of the Willis Tower looks at the top of the tower and measures the angle of elevation as .
![Precalculus Enhanced with Graphing Utilities, Chapter 8, Problem 29RE , additional homework tip 1](https://content.bartleby.com/tbms-images/9780134119281/Chapter-8/images/19281-8-29re.jpg)
Formula used:
Calculation:
Let be the distance the boat is from the shore.
![Precalculus Enhanced with Graphing Utilities, Chapter 8, Problem 29RE , additional homework tip 2](https://content.bartleby.com/tbms-images/9780134119281/Chapter-8/images/19281-8-29re1.jpg)
The boat is approximately or , from shore.
Chapter 8 Solutions
Precalculus Enhanced with Graphing Utilities
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