After a hurricane, a homeowner examines a tree on his property for damage. He thinks a 20-ft palm tree is leaning slightly from its original vertical position. From a point 23 ft away, he measures the angle of elevation to the top of the palm tree as 43 degrees. Is the palm tree leaning? If so, by how many degrees from the vertical? Round to the nearest tenth of a degree.
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.
After a hurricane, a homeowner examines a tree on his property for damage. He thinks a 20-ft palm tree is leaning slightly from its original vertical position. From a point 23 ft away, he measures the angle of elevation to the top of the palm tree as 43 degrees. Is the palm tree leaning? If so, by how many degrees from the vertical? Round to the nearest tenth of a degree.
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