Answer:
62
Explanation:
Use the Law of Sines: sinA/a = sinB/b = sinC/c, where A, B, and C are the angles and a, b, and c are the sidelengths opposite of their corresponding angles.
If angle G = 66 and angle H = 30, then angle F = 180-66-30 = 84 degrees.
Therefore sin84/67 = sin66/g.
Multiple both sides by g and divde by sin84/7 to get
g = sin66/(sin84/67) = 61.5... which is about 62 inches.