tree is leaning directly to the east at an angle of 9° from the vertical. From a point directly east of the tree and at a distance of 100 feet from the bottom of the tree, the angle of elevation of the top of the tree is 21°. Find the height of the tree to the nearest foot.

tree is leaning directly to the east at an angle of 9° from the vertical. From a point directly east of the tree and at a distance of 100 feet from the bottom of the tree, the angle of elevation of the top of the tree is 21°. Find the height of the tree to the nearest foot.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Trigonometry

Section1.8: Applications And Models

Problem 2ECP

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Question

A tree is leaning directly to the east at an angle of 9° from the vertical. From a point directly east of the tree and at a distance of 100 feet from the bottom of the tree, the angle of elevation of the top of the tree is 21°. Find the height of the tree to the nearest foot.

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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