Answer:
[tex]TR=4.9\ ft[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle TRS
The tangent of angle ∠S is equal to divide the opposite side to angle ∠S (TR) by the adjacent side to angle ∠S (TS)
so
[tex]tan(S)=\frac{TR}{TS}[/tex]
we have
[tex]\angle S=66^o\\TS=2.2\ ft[/tex]
substitute
[tex]tan(66^o)=\frac{TR}{2.2}[/tex]
solve for TR
[tex]TR=(2.2)tan(66^o)[/tex]
[tex]TR=4.9\ ft[/tex]