These are the Transum resources related to the statement: "Understand and use the definitions of sine, cosine and tangent for all arguments; the sine and cosine rules; the area of a triangle in the form ½
absin(C); Work with radian measure, including use for arc length and area of sector".
Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.
Here are some exam-style questions on this statement:
" The diagram (not drawn to scale) shows a right-angled triangle." ... more " An arborist sights the top of a tree using a clinometer and reads the angle of elevation to be 29" ... o. Her clinometer is 28 metres from the base of the tree and is on a tripod making it 1.5 metres above ground level. more " The diagram shows a trapezium where the sides AC and BD are parallel." ... more " Consider the triangle ABC where AB=17cm, AC=14cm and the angle BAC = 118" ... o. Find the length of BC. more " Triangle ABC has a right angle at C." ... more " Neung is at Bangkok's Suvarnabhumi Airport watching the planes take off. He observes a plane that is at an angle of elevation of 25" ... o from where he is standing at point N. The plane is at a height of 390 metres as can be seen in the following diagram (not to scale). more " The angle marked \(x\) in the diagram below is obtuse. Find the value of \(x\)" ... more " The Tamarack triathlon race consists of swimming, cycling and running. Competitors swim from A to B, then cycle from B to C and finally run from C back to A." ... more " The area of triangle ABC (not drawn to scale) is " ... more " The diagram shows parallelogram ABCD in which AD = \(x\) cm, DE = 12 cm and angle ABC = 30°" ... more " In triangle ABC, AB = 7cm and AC = 9cm. The area of the triangle is 20cm" ... 2. more " ABC is a triangular car park on horizontal ground. The length of AB is 90m and the length of AC is 65m. The size of angle BCA is 68" ... o. more " The diagram (not to scale) shows a quadrilateral made up of a number of triangles." ... more " Calculate the length of the side marked \(x\)." ... more " In the diagram of triangle ABC (not to scale) D is a point on BC." ... more " The diagram, not drawn to scale, shows a quadrilateral ABCD." ... more " In triangle ABC, the length of AB = 5cm, AC = 13cm and \( \cos B \hat AC = \frac18 \)." ... more " In the diagram above (not drawn to scale), AB=12mm, BC=8mm and angle ABC=123" ... o more " The following diagram shows part of a circle with centre O and radius 10cm." ... more " The diagram shows quadrilateral ABCD. Lengths are given in centimetres." ... more " A builder marks out three points A, B and C on the ground such that AB = 11m , AC = 15m and angle BAC = 124" ... o. more " A drone flying test course is in the shape of a triangle, ABC, with AB = 400m , BC = 600m and angle ABC = 44" ... o. The course starts and finishes at point A. more " The diagram shows a circle of radius 8.6cm with points ABCD on the
circumference of the circle." ... more " Emma sails in a small dinghy from point A in a straight line to a buoy at point B. She is moving at an average speed of 19 km/h, for 6 minutes, on a bearing of 125°." ... more
Click on a topic below for suggested lesson starters, resources and activities from Transum.