3. A city engineer plans to build a footbridge across a lake from point X to point Y. She measures the distance from X to Z as 800 feet and from Y to Z as 1,000 feet. Assuming there is a right angle at X, how long will the bridge be?

3. A city engineer plans to build a footbridge across a lake from point X to point Y. She measures the distance from X to Z as 800 feet and from Y to Z as 1,000 feet. Assuming there is a right angle at X, how long will the bridge be?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter6: Circles

Section6.4: Some Constructions And Inequalities For The Circle

Problem 34E: A tangent ET is constructed to circle Q from external point E. Which angle and which side of...

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Concept explainers

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.

Question

3. A city engineer plans to build a footbridge across a lake from point X to point Y. She measures the distance from X to Z as 800 feet and from Y to Z as 1,000 feet.
Assuming there is a right angle at X, how long will the bridge be?

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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