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Which is the best approximation for the measure of G 18.6 in. angle EGF? 32.8° 12 in. 40.2° E 49.8° 57.2

Which is the best approximation for the measure of G 18.6 in. angle EGF? 32.8° 12 in. 40.2° E 49.8° 57.2

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Triangle Geometry Problem** **Problem Statement:** Given a right triangle \( \triangle EGF \) with the following dimensions: - \( EF = 12 \) inches (opposite side of the right angle at E) - \( FG = 18.6 \) inches (hypotenuse) - \( x \) denotes the length of the adjacent side \( EG \) **Visual Representation:** There is a right-angled triangle \( \triangle EGF \) where angle \( E \) is the right angle. The triangle is labeled with vertex \( E \) at the right angle, \( F \) at the other end of the base, and \( G \) at the top vertex. Each side has a given measurement: - \( EF = 12 \) in. is attached vertically to the right angle. - \( FG = 18.6 \) in. represents the hypotenuse. - \( EG \) is labeled as \( x \). **Question:** Which is the best approximation for the measure of angle \( EGF \)? **Answer Choices:** - A) \( 32.8^\circ \) - B) \( 40.2^\circ \) - C) \( 49.8^\circ \) - D) \( 57.2^\circ \)
Transcribed Image Text:**Triangle Geometry Problem** **Problem Statement:** Given a right triangle \( \triangle EGF \) with the following dimensions: - \( EF = 12 \) inches (opposite side of the right angle at E) - \( FG = 18.6 \) inches (hypotenuse) - \( x \) denotes the length of the adjacent side \( EG \) **Visual Representation:** There is a right-angled triangle \( \triangle EGF \) where angle \( E \) is the right angle. The triangle is labeled with vertex \( E \) at the right angle, \( F \) at the other end of the base, and \( G \) at the top vertex. Each side has a given measurement: - \( EF = 12 \) in. is attached vertically to the right angle. - \( FG = 18.6 \) in. represents the hypotenuse. - \( EG \) is labeled as \( x \). **Question:** Which is the best approximation for the measure of angle \( EGF \)? **Answer Choices:** - A) \( 32.8^\circ \) - B) \( 40.2^\circ \) - C) \( 49.8^\circ \) - D) \( 57.2^\circ \)
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