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Chapter 8: Q. 42 (page 528)

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?

Short Answer

Expert verified

The bridge is 1053.15 feet high.

Step by step solution

01

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 is69.2∘.

From the right, the angle of depression to that point is 65.5∘.

Find the height of the bride .

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