AI generatedGeometry and measuresGCSE Higher

Sine rule - finding an angle

Sine rule: finding an angle.

  • Label the sides and angles before choosing a rule.
  • Sine rule: matching opposite pairs. Cosine rule: three sides or two sides and the included angle.
  • Use degree mode. Keep full calculator accuracy until the final rounding step.

Example 1

Angle B is acute. Find B. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Use matching opposite side–angle pairs.Evaluate sin 30° = .Find the acute calculator value.
CalculatorKeep full accuracy, then round the final result.

Example 2

Angle B is acute. Find B. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Use matching opposite side–angle pairs.Evaluate sin 30° = .Find the acute calculator value.
CalculatorKeep full accuracy, then round the final result.

Your turn

Question 1

Angle B is acute. Find B. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Use matching opposite side–angle pairs.Evaluate sin 30° = .Find the acute calculator value.
CalculatorKeep full accuracy, then round the final result.
Question 2

Angle B is acute. Find B. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Use matching opposite side–angle pairs.Evaluate sin 30° = .Find the acute calculator value.
CalculatorKeep full accuracy, then round the final result.
Question 3

Angle B is acute. Find B. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Use matching opposite side–angle pairs.Evaluate sin 30° = .Find the acute calculator value.
CalculatorKeep full accuracy, then round the final result.
Question 4

Angle B is acute. Find B. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Use matching opposite side–angle pairs.Evaluate sin 30° = .Find the acute calculator value.
CalculatorKeep full accuracy, then round the final result.
Question 5

Angle B is acute. Find B. Give your answer to 1 decimal place.

Triangle ABC; lengths in cmABCDiagram not to scale
Check answer
Use matching opposite side–angle pairs.Evaluate sin 30° = .Find the acute calculator value.
CalculatorKeep full accuracy, then round the final result.
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