Answer:
[tex]\begin{gathered} DF=2.99\approx3.0\text{ ft} \\
Step-by-step explanation:
To determine the length of DF, we can use the Pythagorean theorem, which is defined by the following diagram and formula:
Then, for DF:
[tex]\begin{gathered} 5^2+DF^2=5.83^2 \\ DF^2=5.83^2-5^2 \\ DF=\sqrt[]{5.83^2-5^2} \\ DF=2.99\approx3.0\text{ ft} \end{gathered}[/tex]
Now, to find the angles So, for angle [tex]\begin{gathered} \cos (E)=\frac{5}{5.83} \\ Finally, for angle [tex]\begin{gathered} \text{sin(F)}=\frac{5}{5.83} \\ F=\sin ^{-1}(\frac{5}{5.83}) \\ F=\text{ 59\degree} \end{gathered}[/tex]
