Final answer:
To find the length of side h in the right triangle AFGH, we can use the cosine function with the given angle and side lengths f and g. The approximate length of h is 3.334 cm.
Step-by-step explanation:
In this problem, we have a right triangle AFGH, with the length of side f as 6.6 cm, the length of side g as 3.3 cm, and the angle ZH as 6 degrees. We want to find the length of side h. Based on the given information, we can use the trigonometric relationship cosine, which relates the adjacent side and the hypotenuse:
cos(ZH) = adjacent/hypotenuse
Plugging in the values, we have:
cos(6) = 3.3/h
Solving for h:
h = 3.3/cos(6)
Using a calculator, we can find that h is approximately 3.334 cm (rounded to the nearest tenth of a centimeter).