Answer:
38 inches
Explanation:
We can use the Law of Sines to solve for the length of side g:
sin(66°)/67 = sin(30°)/g
Cross-multiplying, we get:
g*sin(66°) = 67*sin(30°)
Dividing both sides by sin(66°), we get:
g = 67*sin(30°)/sin(66°) ≈ 38 inches (rounded to the nearest inch)
Therefore, the length of side g is approximately 38 inches.