Problem 2 (12 pts): You're tasked with constructing a greenhouse with a glass, arc-shaped ceiling. You want the sun to shine through the ceiling as long as possible while still making it high enough to fit your taller plants. You determine the best angle of elevation from the center to the wall tops to be formed to be 0 = , and that you can afford to make the front wall 8 ft wide. Glass Ciling sunrays
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
You determine the best angle of elevation from the center to the
wall tops to be formed to be θ= pi/3, and that you can afford to make the
front wall 8 ft wide. At what height does the ceiling touch the side walls? How long would the ceiling arc measure from the entrance perspective?
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