Pi Br Trg Loci 1 051108

pi_br_trg_loci_1_051108

Test ID: 69

Name: ______Date: _November 6, 2008_

1. (103334628). The bearing of X from Y is 050. What is the bearing of Y from X?

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REF: 142

2. (103334629). Define the term "angle of depression".

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REF: 142

3. (103334669). Name the three steps of the easy method for doing Pythagoras.

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REF: 144

4. (103334631). Describe the locus of points which are 4cm from a point P.

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REF: 142

5. (103334612). How do you find the angle (what function of the calculator is used)?

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REF: 138

6. (103334668). What is the formula for Pythagoras' theorem?

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REF: 144

6ii. (103334626). Look at the right angled triangle below. Which of the sides x, y or z is

(a) opposite to 

(b) adjacent to 

7. (103334627). What is the relationship between x, y and z above, according to Pythagoras' Theorem?

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REF: 142

8. (103334677). Write down how you would draw accurate 90° and 60° angles.

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REF: 144

9. (10333469). Where is the opposite side in a right-angled triangle?

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REF: 138

10. (103334672). What is trigonometry about?

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REF: 144

11. (103334621). How is the locus of points which are "equidistant from two given points" constructed? How is this locus also otherwise known? How many steps are required using the compass.

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REF: 140

12. (103334636).

(a) A equilateral triangle has sides of length 4cm. Find its height.

(b) An isosceles triangle has sides of length 7cm, 7cm and 10cm. Find the angle between the two equal sides

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REF: 143

13. (103334610). What is the adjacent side?

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REF: 138

14. (103334671). Give the three key words used to find or plot a bearing.

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REF: 144

15. (103334670). What are the three key points concerning bearings?

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REF: 144

16. (103334615). Find the angle x in this triangle?

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REF: 139

17. (103334638). From a point on the ground 10m from the base of a tower, I measure the angle of elevation of the top of the tower to be 64. Find the height of the tower.

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REF: 143

18. (10333461). What do Pythagoras' Theorem and Trigonometry (SIN, COS and TAN) have in common?

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REF: 136

19. (103334676). What is a locus? Describe in detail the four types you should know.

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REF: 144

20. (10333464). What are bearings? (get a definition from a book)

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REF: 137

21. (10333465). How are bearings measured? How many figures should bearing be given as?

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REF: 137

22. (103334675). How do you enter cos 60° into the calculator?

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REF: 144

23. (103334634). Find the marked angle on the triangle shown.

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REF: 142

24. (103334613). What might you have to do on an isosceles triangle in order to work out the angles?

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REF: 138

25. (103334622). How so you construct an accurate 60° angle using loci? How many steps are required using the compass.

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REF: 141

26. (10333467). What 7 steps must be followed in order to solve right-angled triangles using SIN, COS and TAN? (see training presentation).

Do these formulae only work on Right angled triangles? (Yes or No)

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REF: 138

27. (103334623). How so you construct an accurate 90° angle using loci? How many steps are required using the compass.

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REF: 141

28. (103334618). How is the locus of points of a "fixed distance from a given point" constructed?

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REF: 140

29. (103334632). A triangle has sides of length 8cm, 15cm and 17cm. Use Pythagoras' Theorem to check whether it is a right-angled triangle.

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REF: 142

30. (10333463). What are the three steps to finding the length of a side when given two of the others? Use this technique to find the length of the following triangle. (show your working). (Hint you will need to look at the Pythagoras/Trig training presentation).

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REF: 136

31. (103334625). A direction is given as being 280 anticlockwise from the northline. Give this direction as a 3-figure bearing.

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REF: 142

32. (103334611). How is the Greek letter 'θ' pronounced and what is it used to represent?

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REF: 138

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REF: 142

34. (103334674). What is the special word to help you to remember the trigonometry formulae?

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REF: 144

35. (103334614). Find x in the triangle shown?

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REF: 139

36. (10333466). What are the three rules for working out bearings?

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REF: 137

37. (103334620). How is the locus of points that is "equidistant from two given lines" constructed? What do you end up with in terms of angles? How many steps are required using the compass.

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REF: 140

38. (103334635).

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REF: 143

39. (103334637). The diagram shows the route of a bike race from Alton to Barton to Carlton and then back to Alton

(a) Measure the bearing of:

(i) Barton from Alton

(ii) Carlton from Barton

(iii) Alton to Carlton

(b) Find the total distance of the route from Alton to Barton to Carlton and then back to Alton

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REF: 143

40. (103334616). What is the angle of elevation? What is the angle of depression? What fundamental observation can be made about the angle of elevation and angle of depression? Draw a quick diagram using a boat next to a cliff to illustrate the three points.

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REF: 139

41. (103334673). How do you decide which sides are the adjacent, opposite and hypotenuse?

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REF: 144

42. (10333462). What is the basic formula for Pythagoras' Theorem?

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REF: 136

43. (103334624). How do you draw the perpendicular from a point to a line using loci? How many steps are required using the compass.

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REF: 141

44. (103334630). M is the point (0,0) on a graph and N is the point (3,4). Draw a triangle and use Pythagoras' Theorem to find the distance from M to N. (Units are not required).

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REF: 142

45. (103334619). How is the locus of points of a "fixed distance from a given line" constructed?

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REF: 140

46. (10333468). What is the hypoteneuse?

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REF: 138

47. (103334639). A treasure chest is buried in a field.

The chest is the same distance from AB as it is from BC, and equidistant from both B and C. Mark the point where it lies with a T.

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REF: 143

48. (103334633). Find the missing side on the triangle shown

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REF: 142

49. (103334617). What seven differenttypes of loci are there?

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REF: 139