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Surveying. To find the length AB of a small lake, a sur- veyor measured angle ACB to be 96°, AC to be 91 yards, and BC to be 71 yards. What is the approximate length of the lake?

Surveying. To find the length AB of a small lake, a sur- veyor measured angle ACB to be 96°, AC to be 91 yards, and BC to be 71 yards. What is the approximate length of the lake?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Surveying:** To find the length \( AB \) of a small lake, a surveyor measured angle \( ACB \) to be \( 96^\circ \), \( AC \) to be 91 yards, and \( BC \) to be 71 yards. What is the approximate length of the lake? The image illustrates a surveying problem involving a triangle \( \triangle ACB \) with the lake represented as the side \( AB \). The points \( A \) and \( B \) mark the opposite sides of the lake, and point \( C \) is on land, forming a triangle. The angle \( \angle ACB \) is measured at 96 degrees. The distances from \( A \) to \( C \) and from \( B \) to \( C \) are given as 91 yards and 71 yards, respectively. The task is to find the approximate length of the lake, which is the side \( AB \).
Transcribed Image Text:**Surveying:** To find the length \( AB \) of a small lake, a surveyor measured angle \( ACB \) to be \( 96^\circ \), \( AC \) to be 91 yards, and \( BC \) to be 71 yards. What is the approximate length of the lake? The image illustrates a surveying problem involving a triangle \( \triangle ACB \) with the lake represented as the side \( AB \). The points \( A \) and \( B \) mark the opposite sides of the lake, and point \( C \) is on land, forming a triangle. The angle \( \angle ACB \) is measured at 96 degrees. The distances from \( A \) to \( C \) and from \( B \) to \( C \) are given as 91 yards and 71 yards, respectively. The task is to find the approximate length of the lake, which is the side \( AB \).
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