Question

to find the distance across a small lake, a surveyor has taken the measurements shown. find the distance across the lake using this informatior and that ( a = 2.92 ) miles and ( b = 3.56 ) miles. round your answer to two decimal places.) mi

Explanation:

Step1: Apply the Law of Cosines

The Law of Cosines formula is \( c^{2}=a^{2}+b^{2}-2ab\cos C\). Here, \(a = 2.92\), \(b = 3.56\), and \(C=40.3^{\circ}\).

Step2: Substitute the values

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Answer:

\(2.32\)