💬 Right Triangle Trigonometry: Mixed Practice & Reasoning (G-SRT.C.8)

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Use trigonometric ratios and the Pythagorean Theorem to solve right triangles. Read each problem. Draw or write to solve. Label your answer.

1. Hypotenuse 22, angle 40°. Opposite side = ___ (nearest tenth)

Work

Answer: ______________

2. Hypotenuse 9, angle 50°. Adjacent side = ___ (nearest tenth)

Work

Answer: ______________

3. Adjacent side 11, angle 60°. Opposite side = ___ (nearest tenth)

Work

Answer: ______________

4. Hypotenuse 28, angle 30°. Opposite side = ___ (nearest tenth)

Work

Answer: ______________

5. Hypotenuse 28, angle 45°. Adjacent side = ___ (nearest tenth)

Work

Answer: ______________

6. Adjacent side 30, angle 60°. Opposite side = ___ (nearest tenth)

Work

Answer: ______________

Answer key: 1) 14.1 · 2) 5.8 · 3) 19.1 · 4) 14.0 · 5) 19.8 · 6) 52.0

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Worksheets › Grade 10 Math (Geometry) › Right Triangle Trigonometry › Right Triangle Trigonometry

Grade 10 (ages 15–16)Numbers & mathsFree printable PDF

About this grade 10 worksheet

Free Grade 10 Geometry math worksheet (Common Core G-SRT.C.8): right triangle trigonometry — mixed practice with space to reason and check, with answer key. Skill: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles. Level: Grade 10 — also suits Year 11 (UK).

For teachers: skills & standards

CCSS G-SRT.C.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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What age is it for?

It is designed for Grade 10 (ages 15–16), but use it with any child who is ready.

What skills does it build?

Use trigonometric ratios and the Pythagorean Theorem to solve right triangles.

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More “Right Triangle Trigonometry” printables (g-srt.c.8: use trigonometric ratios and the pythagorean theorem to solve right triangles)

Right Triangle Trigonometry: Practice A (G-SRT.C.8) · Right Triangle Trigonometry: Practice B (G-SRT.C.8) · Right Triangle Trigonometry: Show Your Thinking (G-SRT.C.8) · Right Triangle Trigonometry: Quick Check (G-SRT.C.8)

All 5 right triangle trigonometry sheets → · Grade 10 Math (Geometry): all 10 skills → · All Common Core grades

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