Free Printable WorksheetMathTrigonometryMath CurriculumUTRI.TA.1

TRIG.114 Solve bearing and navigation problems with right triangles Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Trigonometry Math worksheet provides structured practice on TRIG.114 Solve bearing and navigation problems with right triangles. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

TRIG.114 Solve bearing and navigation problems with right triangles - Primary standard selected for prompt fields in this prompt cell: UTRI.TA.1. Skill statement in this prompt cell: Select the correct right-triangle or coordinate model for a bearing problem and determine the resultant distance or direction. Associated standards listed with this skill in this prompt cell: UTRI.TA.1; CCSS HSG.SRT.C.6-8; TEKS §111.42(c)(4)(E)-(F); FL MA.912.T.1.1-1.2; VA T.TT.1a,c-d. 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

Trigonometry

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 TRIG.114 Solve bearing and navigation problems with right triangles skill assessments:

Problem 1Difficulty: Mastery
A navigator finds that a direct route has true bearing 032 degrees and length d. Which statement uses the correct model?
AThe route is north and east, with east component d sin(32).
BThe route is north and west, with west component d sin(32).
CThe route is east and north, with east component d cos(32).
DThe route is south and east, with south component d cos(32).
Solution & Explanation:A 032-degree true bearing is 32 degrees east of north. Therefore, the north component is d cos(32) and the east component is d sin(32).
Problem 2Difficulty: Mastery
A drone must reach a waypoint 45 kilometers east and 60 kilometers north of its launch point. It has already traveled 50 kilometers on N 53 E. To the nearest tenth, how far is the remaining direct flight to the waypoint?
Solution & Explanation:The completed leg is 39.9 east and 30.1 north. The remaining displacement is 5.1 east and 29.9 north, so the remaining distance is 30.3 kilometers.
Problem 3Difficulty: Mastery
A surveyor walks 100 meters on a true bearing of 135 degrees and then 80 meters on a true bearing of 225 degrees. To the nearest tenth, how far is the surveyor from the starting point?
Solution & Explanation:The first leg has components 70.7 east and -70.7 north. The second has -56.6 east and -56.6 north. The totals are 14.1 east and -127.3 north, so the distance is 128.1 meters.

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Frequently Asked Questions

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QIs this TRIG.114 Solve bearing and navigation problems with right triangles 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 Trigonometry Math students. It aligns with educational standard UTRI.TA.1 (Primary standard selected for prompt fields in this prompt cell: UTRI.TA.1. Skill statement in this prompt cell: Select the correct right-triangle or coordinate model for a bearing problem and determine the resultant distance or direction. Associated standards listed with this skill in this prompt cell: UTRI.TA.1; CCSS HSG.SRT.C.6-8; TEKS §111.42(c)(4)(E)-(F); FL MA.912.T.1.1-1.2; VA T.TT.1a,c-d. Use this prompt-provided wording as the supporting standard description for this workflow.).

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