The Maths Mann – Resources and Links for Mathematics …
UCSI INTERNATIONAL SCHOOLTrigonometry 1 Past Paper Questions7.1.1634 min30 marksPlease complete in class. 1.NOT TO SCALEA ramp from a car park to a shopping centre slopes upward at an angle of 16° to the horizontal.The length of the ramp is 12 metres.Calculate the difference in height, h metres, between the car park and the shopping centre.Answer ……….…………………….…… m[2]2.NOT TO SCALEA shop has a wheelchair ramp to its entrance from the pavement.The ramp is 3.17 metres long and is inclined at 5° to the horizontal.Calculate the height, h metres, of the entrance above the pavement.Show all your working.Answer ……….………………….…… m[2] 3.NOT TO SCALEThe diagram shows a path, ST, up a hill.The path is 1.2 kilometres long and slopes at an angle of 21° to the horizontal.Calculate the height of the hill, showing all your working.Give your answer in metres.Answer …………………….…………… m[3]4.In the diagram below ABD is a straight line.AB = 4 m and AC = 6 m. Angle BAC = 90°.NOT TO SCALE(a)(i)Use trigonometry to calculate angle ABC.Answer (a)(i) Angle ABC = ……….………[2] (ii)Find angle CBD.Answer (a)(ii) Angle CBD = ………………[1] (b)Calculate the length of BC.Answer (b) BC = …………….…….…… m[2] (c)Work out the perimeter and area of triangle ABC.Give the correct units for each.Answer (c) Perimeter = ………….… Area = ………….…[3]5.NOT TO SCALE ABC is a right-angled triangle.AB = 3.9 m and BC = 2.4 m.Calculate the length of AC.Answer AC = ………..……… m[2]6.NOT TO SCALEABCD represents a building with a vertical flagpole, AF, on the roof.The points E, D and C are on level ground. EA = 55 metres.The angle of elevation of A from E is 18° and the angle of elevation of F from E is 25°.(a)Calculate(i)ED,Answer (a)(i) ……..………… m[2](ii)FD,Answer (a)(ii) ……..………… m[2](iii)DA.Answer (a)(iii) ……….…………[2] (b)Show that AF = 7.4 metres, correct to 1 decimal place.Answer(b) ……..….….…………[1](c)The width, AB, of the building is 12 metres.The top of the flagpole is attached to the point B by a rope.Calculate(i)the length of the rope, FB,Answer (c)(i) ……..…….…… m[2](ii)the angle of elevation of F from B.Answer (c)(ii) ……..……………[2] 7.NOT TO SCALE The height of a tree is 22 metres.The shadow of the tree has a length of 32 metres.Calculate the value of the angle marked p° in the diagram.Answer p = ……….……………[2] ................
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