Question

to find the distance across a small lake, a surveyor has taken the measurements shown. find the distance across the lake using this information.

note: the triangle is not drawn to scale.
distance =
enter your answer as a number; your answer should be accurate to 2 decimal places.
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Explanation:

Step1: Apply the Law of Cosines

The Law of Cosines formula is \(c^{2}=a^{2}+b^{2}-2ab\cos C\). Here, \(a = 2.52\), \(b=3.07\), and \(C = 46.3^{\circ}\).

Step2: Substitute the values into the formula

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Answer:

\(2.26\)