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.  a. 20 b. 18 c. 18 d. 9

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

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.