A ship's captain notes that a second ship is 14.5 km away at an angle of 45° N of E and a third ship is21.7 km away in a direction of 20° N of W. How far apart are the second and third ships?Two airplanes leave the Dallas airport. One plane travels 660 miles to Denver, while the other travels550 miles to Orlando. When they land, the distance between them is 800 miles. What is the measureof the angle between their flight paths?

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A ship's captain notes that a second ship is 14.5 km away at an angle of 45° N of E and a third ship is 21.7 km away in a direction of 20°N of W. How far apart are the second and third ships?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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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

A ship's captain notes that a second ship is 14.5 km away at an angle of 45° N of E and a third ship is
21.7 km away in a direction of 20° N of W. How far apart are the second and third ships?
Two airplanes leave the Dallas airport. One plane travels 660 miles to Denver, while the other travels
550 miles to Orlando. When they land, the distance between them is 800 miles. What is the measure
of the angle between their flight paths?

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