Explanation It is given that, A = 31.5 ° and a = 6 3 4 in . The sum of angles of a triangle is 180 ° . Also, angle C is 90 ° . Obtain the angle B as follows. A + B = 90 ° ( ∵ C = 90 ° ) B = 90 ° − A = 90 ° − 31.5 ° ( ∵ A = 31.5 ° ) = 58.5 ° The side a is the opposite side of the angle A and c is the hypotenuse. Thus, the trigonometric ratio, which relates the opposite side and hypotenuse, is sine. That is, the trigonometric ratio is, sin 31.5 ° = opposite side hypotenuse . Substitute the given measures in the trigonometric ratio and solve to obtain c . sin 31

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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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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The missing parts and solve the right triangle ABC .

Solution Summary: The author explains the missing values of the right triangle ABC. The trigonometric ratio, which relates the opposite side and hypotenuse, is sine.

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The missing parts and solve the right triangle ABC.

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