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PART A: MULTIPLE CHOICE (one (1) mark for each question)

For questions 1 to 4, select the best answer.

1. Which is the best estimate for the ration of

cosq ?

A 1.08

B 2.40

C  0.38

D  2.60

  • Refer to question 1. Which is the measure of Ðq to the nearest degree?

A 21º                        B 23º                             C  47º                             D  67º

  • Which is the best estimate for the length of d ?

A 3.8 cm                 B 4.3 cm C                                 6.0 cm                              D  7.1 cm

  • Which tool or strategy could you use to solve this triangle?

A the sine law B the cosine law

C the Pythagorean theorem

D There is not enough information to solve thistriangle.

MAP4C:  Grade 12, Foundations for College Mathematics

PART C: FULL SOLUTION: For the following questions, show your all work in the space provided.

  • Determine the primary trigonometric ratios for Ðq to three decimal places. (4 marks)
  • A 16-ft beam is supporting a wall. The beam attaches to the wall 12 ft above the ground. Determine the angle of inclination made by the beam with respect to the ground. (3 marks)

MAP4C:  Grade 12, Foundations for College Mathematics

  • The point Q(–6, 5) lies on the terminal arm of an angle, q, in standard position.
  1. Sketch Ðq in standard position.
    1. Determine the primary trigonometric ratios to three decimal places.

(5 marks)

  • In DCPY, c = 35 km, p = 29 km, and y = 33 km. Determine the measure of ÐY to the nearest degree. (4 marks)
  • Two surveyors are 7.7 km apart on a straight highway. They each measure the angle between the highway and a power station and find the angles to be 49º and 60º.

Determine the distance each surveyor is from the power station. (4 marks)

MAP4C:  Grade 12, Foundations for College Mathematics

  1. Katie built a simple circuit by connecting a battery to two light bulbs with wire. She took the measurements shown.

Determine the total length of wire used in Katie’s circuit, to the nearest tenth of a centimetre. (4 marks)

  1. Josh wants to replace two guy wires that are supporting a pole. He took measurements and drew this diagram.

(7 marks)

  1. Determine the total length of guy wire that needs to be replaced to the nearest metre.
    1. Determine the height of the pole to the nearest metre.
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