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Q. 42

Expert-verified
Found in: Page 528

Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

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 thesame 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.

See the step by step solution

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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