A pine tree growing on a hillside makes a 73° angle with the hill. From a point 82 feet up the hill, the angle of elevation to the top of the tree is 65° and the angle of depression to the bottom is 22° Find, to the nearest tenth of a foot, the height of the tree.

A pine tree growing on a hillside makes a 73° angle with the hill. From a point 82 feet up the hill, the angle of elevation to the top of the tree is 65° and the angle of depression to the bottom is 22° Find, to the nearest tenth of a foot, the height of the tree.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Trigonometric Functions: Right Triangle Approach

Section5.2: Trigonometry Of Right Triangles

Problem 61E: Height of a Tower A water tower is located 325 ft from a building see the figure. From a window in...

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Concept explainers

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.

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