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

GEO.96 Solve right triangles with inverse trigonometric functions Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.96 Solve right triangles with inverse trigonometric functions. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.96 Solve right triangles with inverse trigonometric functions - Primary standard selected for prompt fields in this prompt cell: CCSS G-SRT.C.6-8. Skill statement in this prompt cell: Select the correct inverse trigonometric setup and choose the correct angle measure or side length for a right triangle. 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.96 Solve right triangles with inverse trigonometric functions skill assessments:

Problem 1Difficulty: Mastery
In a right triangle, angle theta has opposite leg 33, adjacent leg 56, and hypotenuse 65. Which option correctly gives theta to the nearest tenth of a degree?
Atheta = sin^-1(33/65), so theta = 30.5 degrees
Btheta = cos^-1(33/65), so theta = 59.5 degrees
Ctheta = tan^-1(56/33), so theta = 59.5 degrees
Dtheta = sin^-1(65/33), so theta = 30.5 degrees
Solution & Explanation:The side opposite theta is 33 and the hypotenuse is 65, so theta = sin^-1(33/65), about 30.5 degrees. The tangent form tan^-1(33/56) would also match.
Problem 2Difficulty: Mastery
A right triangle has hypotenuse 53 and one leg 28. What is the angle opposite the other leg, to the nearest tenth of a degree?
A31.9 degrees
B44.0 degrees
C58.1 degrees
D62.2 degrees
Solution & Explanation:The other leg is 45 because 282 + 452 = 532. The angle opposite 45 is sin^-1(45/53), about 58.1 degrees.
Problem 3Difficulty: Mastery
A chair lift cable is 3200 feet long and rises 900 feet vertically. What angle does the cable make with the horizontal, to the nearest tenth of a degree?
A16.3 degrees
B19.6 degrees
C73.7 degrees
D74.9 degrees
Solution & Explanation:The vertical rise is opposite the angle and the cable is the hypotenuse. Use sin^-1(900/3200), about 16.3 degrees.

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Frequently Asked Questions

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QIs this GEO.96 Solve right triangles with inverse trigonometric functions worksheet free for teachers and homeschoolers?

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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 the correct inverse trigonometric setup and choose the correct angle measure or side length for a right triangle. 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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