An ecologist wishes to find the height of a redwood tree that is on the other side of a creek, as shown in the figure below. From point A he finds that the angle of elevation to the top of the tree is 10.6°. He then walks 24.8 feet at a righ angle from point A to point B. There he finds that the angle between AB and a line extending from B to the tree is 87.7°. What is the height h of the tree? (Round your answer to one decimal place.) ft 24.8

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A: A surveyor measures the angles:angle CAB = 29.14°, and angle ABC = 140.33º

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A: Solution: The objective is to find the distance from the plane to the ground

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Q: below is a diagram that shows how Colleen estimates the height of a tree that is on the other side…

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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.