True or False? In Exercises 55–58, determine whether the statement is true or false. Justify your answer. 55. If a triangle contains an obtuse angle, then it must be oblique.56. Two angles and one side of a triangle do not necessarily determine a unique triangle. 57. When you know the three angles of an oblique triangle, you can solve the triangle. 58. The ratio of any two sides of a triangle is equal to the ratio of the sines of the opposite angles of the two sides. 59. Error Analysis Describe the error. The area of the triangle with C = 58°, b = 11 feet, and c = 16 feet is Area = 1 2 (11)(16)(sin 58°) = 88(sin 58°) ≈ 74.63 square feet.

True or False? In Exercises 55–58, determine whether the statement is true or false. Justify your answer. 55. If a triangle contains an obtuse angle, then it must be oblique.56. Two angles and one side of a triangle do not necessarily determine a unique triangle. 57. When you know the three angles of an oblique triangle, you can solve the triangle. 58. The ratio of any two sides of a triangle is equal to the ratio of the sines of the opposite angles of the two sides. 59. Error Analysis Describe the error. The area of the triangle with C = 58°, b = 11 feet, and c = 16 feet is Area = 1 2 (11)(16)(sin 58°) = 88(sin 58°) ≈ 74.63 square feet.

Name: True or False? In Exercises 55–58, determine whether the statement is
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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.4: Values Of The Trigonometric Functions

Problem 44E

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

True or False? In Exercises 55–58, determine whether
the statement is true or false. Justify your answer.
55. If a triangle contains an obtuse angle, then it must be
oblique.56. Two angles and one side of a triangle do not necessarily
determine a unique triangle.
57. When you know the three angles of an oblique triangle,
you can solve the triangle.
58. The ratio of any two sides of a triangle is equal to the
ratio of the sines of the opposite angles of the two sides.
59. Error Analysis Describe the error.
The area of the triangle with
C = 58°, b = 11 feet, and
c = 16 feet is
Area = 1
2
(11)(16)(sin 58°)
= 88(sin 58°)
≈ 74.63 square feet.

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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