Explanation In a right angle triangle , 1) The side PQ , which is opposite to the right angle PRQ is called the hypotenuse . (The hypotenuse is the longest side of the right triangle.) 2) The side RQ is called the adjacent side of angle θ . 3) The side PR is called the opposite side of angle θ . Formula: sin θ = opposite hypotenuse Given: From, the given diagram, θ = 47 ∘ , hypotenuse side is 16 ft and opposite side is b . Then, sin θ = opposite hypotenuse sin 47 ∘ = b 16 In a right angle triangle, sum of all three angles is 180 ∘ Here, one angle is 90 ∘ and other angle is 47 ∘ Let the third angle be α α = 180 − 90 − 47 α = 43 ∘ For the angle α , hypotenuse side is 16 ft and opposite side is a . sin α = opposite hypotenuse sin 43 ∘ = a 16 Using the table 11

Elementary Geometry For College Students, 7e

7th Edition

ISBN: 9781337614085

Author: Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher: Cengage,

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Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 11.1, Problem 17E

To determine

To find:

The length of the side named by the variable.

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Chapter 11.1, Problem 16E

Chapter 11.1, Problem 18E

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Chapter 11 Solutions

Elementary Geometry For College Students, 7e

Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 1 to 6, find sin and sin for the...Ch. 11.1 - In Exercises 7 to 14, use either Table 11.2 or a...Ch. 11.1 - In Exercises 7 to 14, use either Table 11.2 or a...Ch. 11.1 - Prob. 9E Ch. 11.1 - Prob. 10E

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The length of the side named by the variable.

Solution Summary: The author explains how to find the length of the side named by the variable in a right angle triangle.

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Chapter 11 Solutions

To find:

The length of the side named by the variable.