A hill has an angle of inclination of 38°, as shown to the right. The placement of a highway requires that 400 ft of the hill, measured horizontally, be removed. The engineers plan to leave a slope alongside the highway with an angle of inclination of 62°. Located 924 ft up the hill measured from the base is a tree containing the nest of an endangered hawk. Will this tree be removed in the excavation? 924 ft 38° 62° 400 ft

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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.