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 A = 57 ° and side length b = 9.4 . From the Figure, it is observed that ∠ C = 90 ° . Use the fact that the sum of the 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 ° 57 ° + ∠ B = 90 ° ∠ B = 90 ° − 57 ° ∠ B = 33 ° That is, the angle B = 33 °

Pearson eText for Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version -- Instant Access (Pearson+)

14th Edition

ISBN: 9780137400126

Author: Raymond Barnett, Michael Ziegler

Publisher: PEARSON+

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Chapter 8.1, Problem 47E

To determine

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

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Chapter 8.1, Problem 46E

Chapter 8.1, Problem 48E

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Chapter 8 Solutions

Pearson eText for Calculus for Business, Economics, Life Sciences, and Social Sciences, Brief Version -- Instant Access (Pearson+)

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 by solving the equation.

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

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Chapter 8 Solutions