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Q. 42

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Precalculus Enhanced with Graphing Utilities

Found in: Page 528

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

Finding the Height of the Bridge over the Royal Gorge The highest bridge in the world is the bridge over the Royal Gorge of the Arkansas River in Colorado. Sightings to the
same point at water level directly under the bridge are taken from each side of the 880-foot-long bridge, as indicated in the figure. How high is the bridge?

The bridge is 1053.15 feet high.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information

The tallest bridge in the world is feet 880 long.

A sighting is taken to the same point on the water directly below the bridge from each side.

From the left, the angle of depression to that point is $69 . 2^{\circ}$ .

From the right, the angle of depression to that point is $65 . 5^{\circ}$ .

Find the height of the bride .

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