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

GEO.111 Use inverse trigonometric functions to find angles Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.111 Use inverse trigonometric functions to find angles. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.111 Use inverse trigonometric functions to find angles - 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. 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.111 Use inverse trigonometric functions to find angles skill assessments:

Problem 1Difficulty: Mastery

Points P(1, 1), Q(1, 28), and R(37, 28) form a right triangle with the right angle at Q. Which setup gives angle theta at R to the nearest tenth of a degree?

Atheta = tan^-1(36/27), theta about 53.1 degrees

Btheta = tan^-1(27/36), theta about 36.9 degrees

Ctheta = sin^-1(36/45), theta about 53.1 degrees

Dtheta = tan^-1(27/45), theta about 31.0 degrees

Solution & Explanation:From angle R, the vertical side PQ has length 27 and is opposite, while the horizontal side RQ has length 36 and is adjacent. theta = tan^-1(27/36), about 36.9 degrees.

Problem 2Difficulty: Mastery

A stage support must make an angle between 25 degrees and 35 degrees with the floor. Which rise-and-run choice meets the requirement, and what inverse trig setup verifies it?

ARise 20 and run 40; theta = tan^-1(20/40), theta about 26.6 degrees

BRise 18 and run 40; theta = tan^-1(18/40), theta about 24.2 degrees

CRise 30 and run 40; theta = tan^-1(30/40), theta about 36.9 degrees

DRise 40 and run 20; theta = tan^-1(40/20), theta about 63.4 degrees

Solution & Explanation:Use theta = tan^-1(rise/run) for each choice. Only tan^-1(20/40) is about 26.6 degrees, which is between 25 and 35 degrees.

Problem 3Difficulty: Mastery

Which side description and inverse trig setup correctly produce an acute angle theta of about 14.3 degrees in a 16-63-65 right triangle?

AOpposite 63 and adjacent 16; theta = tan^-1(63/16), theta about 75.7 degrees

BOpposite 16 and hypotenuse 63; theta = sin^-1(16/63), theta about 14.7 degrees

CAdjacent 16 and hypotenuse 65; theta = cos^-1(16/65), theta about 75.7 degrees

DOpposite 16 and adjacent 63; theta = tan^-1(16/63), theta about 14.3 degrees

Solution & Explanation:An angle of about 14.3 degrees is opposite the short leg 16 and adjacent to the long leg 63. The setup is tan^-1(16/63).

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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 the correct inverse trigonometric setup and choose the correct angle measure. 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.).