## A self-marking exercise on the sine rule, cosine rule and the sine formula for finding the area of a triangle.

##### Sine RuleCosine RuleSine FormulaExam-StyleHelpMore Trigonometry

This is level 1, Sine Rule. All lengths are in centimetres unless stated otherwise. Give all answers to three significant figures. The diagrams are not drawn to scale.

Find the size of the lettered sides and angles.

 cm cm cm ° ° ° Triangle ABC has side AB of length 6cm, angle ACB is 62° and angle CAB is 47°. Find the length of side CB in centimetres. cm A lighthouse is due north of a boat. A whale is spotted 0.6km from the boat on a bearing of 043°. What is the bearing of the whale from the lighthouse if the distance between them is 0.9km? ° Brimton is 38 km due south of Allstown. Cripton is on a bearing of 305° from Brimton and Cripton is on a bearing of 220° from Allstown. Find the distance from Cripton to Allstown. km Triangle XYZ has an obtuse angle at Z. If XY = 15cm, YZ = 10cm and angle YXZ = 31° find the size of angle XZY in degrees. °
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## Instructions

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