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To find: The area of the lake.
![Check Mark](/static/check-mark.png)
Answer to Problem 40AYU
The area of the shaded region is
Explanation of Solution
Given:
The given diagram is shown in Figure 1
Figure 1
Calculation:
Consider the value of the angle,
Consider the law of cosine as,
Then,
Consider the semi-perimeter of the above triangle is,
Consider the area of the triangle
Consider the value of side BC is,
Consider the semi perimeter of the triangle ABC is,
Consider the area of the triangle
Consider the semi perimeter of the triangle
Consider the area of the triangle
The area of the lake is sum of the area of all the triangle,
Chapter 8 Solutions
Precalculus Enhanced with Graphing Utilities
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