Question

In triangle FGH, F = 830 inches, g = 460 inches and h=500 inches. Find the measure of angle H

to the nearest degree.​

Answer 1

9514 1404 393

Answer:

32°

Explanation:

The law of cosines can be used for this:

h^2 = f^2 +g^2 -2fg·cos(H)

cos(H) = (f^2 +g^2 -h^2)/(2fg)

cos(H) = (650,500/763,600)

H = arccos(6505/7636) ≈ 31.5826°

Angle H is about 32°.