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

##### Sine RuleCosine RuleSine FormulaMixed QuestionsExamHelpMore

This is level 4, Mixed Questions. 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 A UFO is spotted in the sky. It begins by flying for $$10.5 \, \text{km}$$ on a bearing of $$235^\circ$$. It then changes direction and flies for another $$15.2 \, \text{km}$$ on a bearing of $$130^\circ$$. Find the bearing of the final position from the starting point. ° Find the area of an equilateral triangle with sides of length 3.14cm. cm² Find the area of a regular pentagon with sides of length 75mm. mm² Marty is making a map of his local area. He marks his house with the letter $$H$$. He knows that his school is 2km from his house and he marks this with the letter $$S$$. The park ($$P$$) is $$1.7km$$ from school. Marty has found out that the angle $$P\hat{H}S$$ is $$25^\circ$$. What is the difference between the two possible values that angle $$S\hat{P}H$$ could be? °
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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

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## Sine Formula

This video is from Revision Village

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