Aarnie has plans to build a treehouse in a large oak tree in his backyard. He takes measurements from the ground and uses trigonometry to estimate how tall the treehouse can be. Twenty feet from the base of the tree, Aarnie measures a 26.6 Degree angle of elevation to the proposed bottom of the treehouse and a 42 Degree angle of elevation to the proposed top of the treehouse. If Aarnie is 6 ft tall, will there be enough room for him to stand inside the tree house? Justify.
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.
Aarnie has plans to build a treehouse in a large oak tree in his backyard. He takes measurements from the ground and uses trigonometry to estimate how tall the treehouse can be. Twenty feet from the base of the tree, Aarnie measures a 26.6 Degree angle of elevation to the proposed bottom of the treehouse and a 42 Degree angle of elevation to the proposed top of the treehouse. If Aarnie is 6 ft tall, will there be enough room for him to stand inside the tree house? Justify.
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