Answer:
[tex]\theta=38.42 \textdegree[/tex]
Step-by-step explanation:
From the question we are told that:
Angle of F [tex]\angle F=90 \textdegree[/tex]
Length of [tex]EF = 2.3 feet,[/tex]
Length of [tex]FD= 2.9 feet,[/tex]
Generally the equation for Angle D [tex]\theta[/tex] is mathematically given by
Since [tex]\angle F=90[/tex].The triangle is a right angle Triangle
Therefore
[tex]tan \theta=\frac{EF}{FD}[/tex]
[tex]tan \theta=\frac{2.3}{2.9}[/tex]
[tex]\theta=tan^{-1} 0.793[/tex]
[tex]\theta=38.42 \textdegree[/tex]