Explanation Given Information: The right triangle has a = 18.3 mi and A = 71.2 ° , and the provided triangle is shown below, Formula used: For a right angled triangle, The trigonometric ratio for tangent of angle A is tan A = length of side opposite angle A length of side adjacent to angle A = a b sin A = length of side opposite angle A length of hypotenuse = a c cos A = length of side adjacent to angle A length of hypotenuse = b c Calculation: Consider the provided right angled triangle, The triangle has a = 18.3 mi and A = 71.2 ° . Apply the formula for tangent of a right-angled triangle, and substitute 18.3 for a and 71.2 for A , tan ( 71.2 ) = 18.3 b Multiply both sides by b , b ⋅ tan ( 71.2 ) = 18.3 b ⋅ b b ⋅ tan ( 71.2 ) = 18.3 Divide both sides by tan ( 71.2 ) , b ⋅ tan ( 71.2 ) tan ( 71.2 ) = 18.3 tan ( 71.2 ) b = 18.3 tan ( 71

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ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 13.3, Problem 24E

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To calculate: The lengths of the unknown sides of the right triangle with a=18.3 mi and A=71.2°.

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Chapter 13.3, Problem 23E

Chapter 13.4, Problem 1E

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Chapter 13 Solutions

Elementary Technical Mathematics

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The lengths of the unknown sides of the right triangle with a = 18.3 mi and A = 71.2 ° .

Solution Summary: The author calculates the lengths of unknown sides of the right triangle with a=18.3 mi and A=71.2°.

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To calculate: The lengths of the unknown sides of the right triangle with a=18.3 mi and A=71.2°.

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Chapter 13 Solutions