We have that the hypotenuse is 5.2 feet and we wish to find the angle Θ, therefore:
[tex]\begin{gathered} \cos \theta=\frac{BD}{AB} \\ \cos \theta=\frac{3}{5.2} \\ \theta=\cos ^{-1}(\frac{3}{5.2}) \\ \theta=54.77\approx54.8 \end{gathered}[/tex]
Answer: 54.8°
