To determine The distance between the boat and the liner. Explanation From the given figure, it is observed that the distance between the boat and the liner forms the adjacent side of the angle of measure 15 ° and the opposite side has length 1200 ft. Step 1: Let L denote the distance between the boat and the liner. The trigonometric ratio, which relates the opposite side and adjacent side, is tangent. That is, the trigonometric ratio is, tan 15 ° = opposite side adjacent side . Step 2: Substitute the given measures in the trigonometric ratio. tan 15 ° = 120 0 ′ L Step 3: Solve the equation and obtain the value of L

Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book

10th Edition

ISBN: 9780133347777

Author: Robert A. Carman Emeritus, Hal M. Saunders

Publisher: PEARSON

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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.

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Chapter 10.3, Problem 4DE

To determine

The distance between the boat and the liner.

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Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book

Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Prob. 7AE Ch. 10.1 - Label the shaded angles as acute, obtuse, right,...Ch. 10.1 - Prob. 9AE Ch. 10.1 - Prob. 10AE

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