A tree on a hillside casts a shadow 215 ft down the hill. If the angle of inclination of the hillside to the horizontal is 22° and the angle of elevation of the sun is 52°, find the height of the tree.

A tree on a hillside casts a shadow 215 ft down the hill. If the angle of inclination of the hillside to the horizontal is 22° and the angle of elevation of the sun is 52°, find the height of the tree.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Trigonometry

Section1.8: Applications And Models

Problem 3ECP: At a point 65 feet from the base of a church, the angles of elevation to the bottom of the steeple...

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Exercise 3:
A tree on a hillside casts a shadow 215 ft down the hill. If the angle of inclination of the hillside to the
horizontal is 22° and the angle of elevation of the sun is 52°, find the height of the tree.

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Step 1: Sketch the diagram.

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Step 2: Find the angles.

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Step 3: Apply Law of Sines.

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