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Question is down below. Please explain throughly why the answer is correct.

Question is down below. Please explain throughly why the answer is correct.-example-1

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We have that the hypotenuse is 5.2 feet and we wish to find the angle Θ, therefore:


\begin{gathered} \cos \theta=(BD)/(AB) \\ \cos \theta=(3)/(5.2) \\ \theta=\cos ^(-1)((3)/(5.2)) \\ \theta=54.77\approx54.8 \end{gathered}

Answer: 54.8°

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