(a) Explanation Result used: “The laws of Cosines are, a 2 = b 2 + c 2 − 2 b c cos A b 2 = c 2 + a 2 − 2 c a cos B c 2 = a 2 + b 2 − 2 a b cos C .” “The laws of Sines are, sin A a = sin B b = sin C c .” Calculation: It is given that, the value of a = 6.5 in , b = 6.0 in , and c = 3.5 in . The largest side is a . Substitute the given values in law of cosines and obtain A. a 2 = b 2 + c 2 − 2 b c cos A 2 b c cos A = b 2 + c 2 − a 2 cos A = b 2 + c 2 − a 2 2 b c On further simplification, cos A = ( 6.0 ) 2 + ( 3.5 ) 2 − ( 6.5 ) 2 2 ( 6 (b) To determine To solve: The triangle with given information A = 68 ° , B = 79 ° , and b = 8.0 ft .

Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)

11th Edition

ISBN: 9780134756967

Author: Hal Saunders, Robert Carman

Publisher: PEARSON

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Chapter 10, Problem 7P

(a)

To determine

To solve: The triangle with given information a=6.5 in, b=6.0 in, and c=3.5 in.

(b)

To determine

To solve: The triangle with given information A=68°, B=79°, and b=8.0 ft.

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Chapter 10, Problem 6P

Chapter 10, Problem 1APS

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Chapter 10 Solutions

Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)

Ch. 10.1 - True or false: There cannot be an obtuse angle in...Ch. 10.1 - What is the sum of the angles in any triangle?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,...

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The triangle with given information a = 6.5 in , b = 6.0 in , and c = 3.5 in .

Solution Summary: The author explains how to solve the triangle with given information a=6.5in, b=6.0 and c=3.5 in. Substitute the given values in

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To solve: The triangle with given information a=6.5 in, b=6.0 in, and c=3.5 in.

To solve: The triangle with given information A=68°, B=79°, and b=8.0 ft.

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Chapter 10 Solutions