see the attached figure to better understand the problem
we know that
Applying the law of cosines
f²=g²+h²-2*g*h*cos F
in this problem
g=14 ft
h=22 ft
F=55°
f²=14²+22²-2*14*22*cos 55--------> f²=326.68-------> f=18.07 ft
the answer is
the measure of f rounded to the nearest tenth is 18.1 ft
the measure of f rounded to the nearest hundredth is 18.07 ft
the measure of f rounded to the nearest foot is 18 ft
