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Find the value of x in the diagram below. 122°

Find the value of x in the diagram below. 122°

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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**Problem Statement:** A 24-foot ramp is placed so that the upper end is at the top of a 6-foot wall. What is the distance (in feet) from the base of the ramp to the wall? (Hint: Draw a picture) **Answer Choices:** - ○ \(6\sqrt{17}\) - ○ \(17\sqrt{6}\) - ○ \(6\sqrt{15}\) - ○ \(15\sqrt{6}\)
Transcribed Image Text:**Problem Statement:** A 24-foot ramp is placed so that the upper end is at the top of a 6-foot wall. What is the distance (in feet) from the base of the ramp to the wall? (Hint: Draw a picture) **Answer Choices:** - ○ \(6\sqrt{17}\) - ○ \(17\sqrt{6}\) - ○ \(6\sqrt{15}\) - ○ \(15\sqrt{6}\)
### Problem Find the value of \( x \) in the diagram below. ### Diagram Explanation The diagram shows a triangle with one angle labeled as \( 122^\circ \) and another as a right angle (indicated by a square in the corner). The unknown angle is labeled \( x \). ### Answer Choices - 32 - -42 - 10 - 50 ### Solution Since one angle of the triangle is a right angle (\(90^\circ\)), and the second angle is \(122^\circ\), we can use the triangle angle sum property. The sum of angles in a triangle is \(180^\circ\). \[ x + 90^\circ + 122^\circ = 180^\circ \] \[ x = 180^\circ - 90^\circ - 122^\circ \] \[ x = -32^\circ \] However, since this is not possible for a triangle (as angles cannot be negative), there might be a conceptual error in the given angle measurements since the given options do not match the calculations.
Transcribed Image Text:### Problem Find the value of \( x \) in the diagram below. ### Diagram Explanation The diagram shows a triangle with one angle labeled as \( 122^\circ \) and another as a right angle (indicated by a square in the corner). The unknown angle is labeled \( x \). ### Answer Choices - 32 - -42 - 10 - 50 ### Solution Since one angle of the triangle is a right angle (\(90^\circ\)), and the second angle is \(122^\circ\), we can use the triangle angle sum property. The sum of angles in a triangle is \(180^\circ\). \[ x + 90^\circ + 122^\circ = 180^\circ \] \[ x = 180^\circ - 90^\circ - 122^\circ \] \[ x = -32^\circ \] However, since this is not possible for a triangle (as angles cannot be negative), there might be a conceptual error in the given angle measurements since the given options do not match the calculations.
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