Explanation Formula used: Trigonometry ratios: sin θ = Opposite Hypotenuse , csc θ = Hypotenuse Opposite , cos θ = Adjacent Hypotenuse , sec θ = Hypotenuse Adjacent tan θ = Opposite Adjacent and cot θ = Adjacent Opposite . Calculation: It is given that, the angle B = 48 ° and the side length a = 12.1 . From the Figure, it is observed that ∠ C = 90 ° . Use the fact that the sum of angles of a triangle is 180 ° , that is ∠ A + ∠ B + ∠ C = 180 ° . Obtain the angle A by solving the equation ∠ A + ∠ B + ∠ C = 180 ° . ∠ A + ∠ B + ∠ C = 180 ° ∠ A + ∠ B = 90 ° ∠ A + 48 ° = 90 ° ∠ A = 90 ° − 48 ° ∠ A = 42 ° That is, the angle A = 42 °

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

15th Edition

ISBN: 9781323047620

Author: Barnett, Ziegler, Byleen

Publisher: Pearson Education

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Chapter 8.1, Problem 44E

To determine

To find: The angles and side lengths of the given right triangle.

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Chapter 8.1, Problem 43E

Chapter 8.1, Problem 45E

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Chapter 8 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

Ch. 8.1 - Find the degree measure of 1 rad.Ch. 8.1 - Without using a calculator, find: (A)cot 45 (B)cos...Ch. 8.1 - Solve the right triangle in Figure 14. Round side...Ch. 8.1 - Solve the right triangle in Figure 16. Round...Ch. 8.1 - Repeat Example 5 assuming that the man is standing...Ch. 8.1 - Prob. 1ED Ch. 8.1 - Prob. 1E Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...

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The angles and side lengths of the given right triangle.

Solution Summary: The author calculates the angles and side lengths of the given right triangle. The sum of angles is 180°.

To find: The angles and side lengths of the given right triangle.

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Chapter 8 Solutions