Question

In Triangle ΔFGH, FH = 7ft, FG = 12ft, and m∠F = 70°. Find m∠G. Round your answer to nearest tenth.

Answer 1

[AI-generated answer — Bot]

We can use the Law of Cosines to find the length of GH. Let GH = x ft. Then:

x^2 = 7^2 + 12^2 - 2(7)(12)cos(70°)
x^2 = 49 + 144 - 168cos(70°)
x^2 ≈ 131.71
x ≈ 11.48ft

Now we can use the Law of Sines to find m∠G:

sin(∠G) / 12 = sin(70°) / 11.48
sin(∠G) ≈ 0.7204
∠G ≈ sin^(-1)(0.7204) ≈ 46.6°

So, m∠G ≈ 46.6°, rounded to the nearest tenth.