Answer :
Given data:
The given right angle triangle.
The expression for tan(D) is,
[tex]\tan (D)=\frac{BC}{DC}[/tex]Substitute the given values in the above expression.
[tex]\begin{gathered} \tan (D)=\frac{25\text{ ft}}{45\text{ ft}} \\ D=\tan ^{-1}(\frac{25}{45})^{} \\ =29.05^{\circ} \end{gathered}[/tex]Thus, the value of angle D is 29.05 degrees.