Question

Use the Law of Cosines to find the missing angle. In FGH, g = 14 ft, h = 22 ft, and m<F=55deg. Find the measure of f.

Answer 1

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