Free Printable WorksheetMathGeometryMath CurriculumG-SRT.C.6-8

GEO.109 Select the correct trigonometric ratio for a problem Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.109 Select the correct trigonometric ratio for a problem. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.109 Select the correct trigonometric ratio for a problem - Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.C.6-8. Skill statement in this prompt cell: Select sine, cosine, or tangent as the correct ratio for a right-triangle situation and choose the correct equation. Associated standards listed with this skill in the curriculum source: CCSS G-SRT.C.6-8; VA G.TR.4; FL MA.912.T.1.*; TEKS §111.41(c). Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Geometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related GEO.109 Select the correct trigonometric ratio for a problem skill assessments:

Problem 1Difficulty: Mastery
A runner follows a straight hill path. The path length is 85 m and the horizontal distance is 77 m. Let theta be the angle the path makes with the horizontal. Which equation is correct?
Asin(theta) = 77/85
Bcos(theta) = 77/85
Ctan(theta) = 77/85
Dcos(theta) = 85/77
Solution & Explanation:The horizontal distance is adjacent to theta and the path length is the hypotenuse. Cosine uses adjacent over hypotenuse.
Problem 2Difficulty: Mastery
A sign installer props a 58-in. brace against a vertical post. The brace touches the post 40 in. above the ground, and angle theta is at the ground. Which equation models theta?
Asin(theta) = 40/58
Bcos(theta) = 40/58
Ctan(theta) = 40/58
Dsin(theta) = 58/40
Solution & Explanation:The post height is opposite the ground angle, and the brace is the hypotenuse. The correct equation is sin(theta) = 40/58.
Problem 3Difficulty: Mastery
A geometry app displays a right triangle with angle z. It labels the opposite side 11, the adjacent side 60, and the hypotenuse 61. Which equation should be chosen to compare the adjacent side to the hypotenuse?
Asin(z) = 60/61
Bcos(z) = 60/61
Ctan(z) = 60/11
Dcos(z) = 61/60
Solution & Explanation:Adjacent over hypotenuse is the cosine ratio. With adjacent 60 and hypotenuse 61, the equation is cos(z) = 60/61.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard G-SRT.C.6-8 (Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.C.6-8. Skill statement in this prompt cell: Select sine, cosine, or tangent as the correct ratio for a right-triangle situation and choose the correct equation. Associated standards listed with this skill in the curriculum source: CCSS G-SRT.C.6-8; VA G.TR.4; FL MA.912.T.1.*; TEKS §111.41(c). Use this prompt-provided wording as the supporting standard description for this workflow.).

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