Explanation From the given triangle, observe that the length of the one leg is 15 5 8 ′ ′ and the length of hypotenuse is 29 3 4 ′ ′ . Step 1: The side with length 15 5 8 ′ ′ is the side opposite to A and the other side is the hypotenuse. Thus, the trigonometric ratio, which relates the opposite side and hypotenuse, is sine. That is, the trigonometric ratio is, sin B = opposite side hypotenuse . Step 2: Substitute the given measures in the trigonometric ratio. sin B = ( 15 5 8 ) ( 29 3 4 ) Step 3: Solve the equation and obtain the value of A

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Chapter 10.3, Problem 6BE

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The value of A from the given figure.

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EBK MATHEMATICS FOR THE TRADES

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 value of A from the given figure.

Solution Summary: The author explains how the trigonometric ratio, which relates the opposite side and hypotenuse, is sine.

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