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Triangle ABC with right angle Cis shown below. A D B Given that sin(B) =- 1 and AD= BD , find sin(ZADC). 3 Note that the diagram may not be drawn to scale. 7 a) b) 3 8 c) 27 4/2 d) 2/2 e)

Triangle ABC with right angle Cis shown below. A D B Given that sin(B) =- 1 and AD= BD , find sin(ZADC). 3 Note that the diagram may not be drawn to scale. 7 a) b) 3 8 c) 27 4/2 d) 2/2 e)

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Triangle Problem Explanation** A right triangle \( ABC \) with the right angle at \( C \) is shown. The diagram includes a line segment from point \( A \) to point \( B \), with a midpoint \( D \) on \( AB \) such that \( AD = BD \). **Given:** - \( \sin(B) = \frac{1}{3} \) - \( AD = BD \) **Problem:** Find \( \sin(\angle ADC) \). **Note:** The diagram may not be to scale. **Options:** a) \( \frac{7}{9} \) b) \( \frac{2}{3} \) c) \( \frac{8}{27} \) d) \( \frac{4\sqrt{2}}{9} \) (Correct answer) e) \( \frac{2\sqrt{2}}{9} \) **Diagram Explanation:** - The triangle is labeled \( A, B, C \) with a right angle at \( C \). - A line segment \( AD \) is drawn in blue, indicating \( D \) is equidistant from both \( A \) and \( B \). The task is to solve for the sine of angle \( \angle ADC \) using the given information.
Transcribed Image Text:**Triangle Problem Explanation** A right triangle \( ABC \) with the right angle at \( C \) is shown. The diagram includes a line segment from point \( A \) to point \( B \), with a midpoint \( D \) on \( AB \) such that \( AD = BD \). **Given:** - \( \sin(B) = \frac{1}{3} \) - \( AD = BD \) **Problem:** Find \( \sin(\angle ADC) \). **Note:** The diagram may not be to scale. **Options:** a) \( \frac{7}{9} \) b) \( \frac{2}{3} \) c) \( \frac{8}{27} \) d) \( \frac{4\sqrt{2}}{9} \) (Correct answer) e) \( \frac{2\sqrt{2}}{9} \) **Diagram Explanation:** - The triangle is labeled \( A, B, C \) with a right angle at \( C \). - A line segment \( AD \) is drawn in blue, indicating \( D \) is equidistant from both \( A \) and \( B \). The task is to solve for the sine of angle \( \angle ADC \) using the given information.
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