Explanation It is given that, a = 3 1 4 in and b = 4 1 2 in . By Pythagorean theorem obtain the value of c as follows. c 2 = a 2 + b 2 = ( 3 1 4 ) 2 + ( 4 1 2 ) 2 c = ( 3.25 ) 2 + ( 4.5 ) 2 = 5.55 in The side a is the adjacent side of the angle B and b is the opposite side. Thus, the trigonometric ratio, which relates the adjacent side and opposite side, is tangent. That is, the trigonometric ratio is, tan B = opposite side adjacent side . Substitute the given measures in the trigonometric ratio and solve to obtain B . tan B = b a = ( 4 1 2 ) ( 3 1 4 ) = 4

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The missing parts and solve the right triangle ABC.

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Chapter 10 Solutions

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 missing parts and solve the right triangle ABC .

Solution Summary: The author explains the missing values of the right triangle ABC and the trigonometric ratio.

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