In ΔFGH, FH = 8ft, FG = 13ft, and m∠F = 72°

Question

Find the length of HG.

Show Work.
Please Answer.

Answer 1

To find the length of HG, you can use the Law of Cosines:

c^2 = a^2 + b^2 - 2abcos(C)

where c is the length of the side opposite the angle you know (in this case, side HG), a and b are the lengths of the other two sides, and C is the angle opposite side c.

Plugging in the given values:

c^2 = 8^2 + 13^2 - 2(8)(13)cos(72)

c^2 ≈ 331.65

Taking the square root of both sides:

c ≈ 18.2 ft

Therefore, the length of HG is approximately 18.2 ft.

Answer 2

15 questions of the same type, what is going on ????

btw, I answered one of them, for the others all you have to do is
change the numbers.

Answer 3

btw, the bot messed up again....

after:
c^2 = 8^2 + 13^2 - 2(8)(13)cos(72)
I get,
c^2 = 64 + 169 - 64.2755...
= 168.724...

c = 12.989
or c = appr 13