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8 P

8 P

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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The image shows a right-angled triangle RQP. The key features of the triangle are as follows: - **Angle Details**: - The right angle (90°) is located at vertex R, denoted by the small square. - The angle at vertex P is annotated as 75°. - **Sides of the Triangle**: - The side opposite to the right angle (the hypotenuse) RQ is labeled with a length of 8 units. - The side QR is perpendicular to RP. This diagram is useful for understanding trigonometric properties and solving problems related to right-angled triangles, such as calculating the length of the other sides using trigonometric ratios or the Pythagorean theorem. The given angle of 75° can be used along with the lengths of the sides to explore the sine, cosine, and tangent ratios. For educational purposes, students can utilize this example to practice solving for unknown sides in right triangles.
Transcribed Image Text:The image shows a right-angled triangle RQP. The key features of the triangle are as follows: - **Angle Details**: - The right angle (90°) is located at vertex R, denoted by the small square. - The angle at vertex P is annotated as 75°. - **Sides of the Triangle**: - The side opposite to the right angle (the hypotenuse) RQ is labeled with a length of 8 units. - The side QR is perpendicular to RP. This diagram is useful for understanding trigonometric properties and solving problems related to right-angled triangles, such as calculating the length of the other sides using trigonometric ratios or the Pythagorean theorem. The given angle of 75° can be used along with the lengths of the sides to explore the sine, cosine, and tangent ratios. For educational purposes, students can utilize this example to practice solving for unknown sides in right triangles.
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