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Lesson 1

1. Lesson 1

1.2. Are You Ready?

Mathematics 20-1: Module 2: Lesson 1

Module 2: Trigonometry

 

Are You Ready?
 

Complete these questions. If you experience difficulty and need help, visit Refresher or contact your teacher.

  1. Find the unknown length. State your answers rounded to the nearest tenth.

    1. This is an image of a right triangle. The hypotenuse is 25 metres long. One angle is marked 27 degrees with the side opposite the angle marked as x.

      Answer

    2. This is an image of a right triangle. One angle is marked as 63 degrees with the opposite side marked as 15 metres and the adjacent side marked as x.

      Answer

    3. This is an image of a right triangle. The hypotenuse is marked as y. One side is marked as 8 metres. The included angle between the hypotenuse and the 8-metre side is marked as 48 degrees.

      Answer

    4. This is an image of a right triangle. The hypotenuse is marked as 9.2 centimetres, and the other two sides are marked as 7 centimetres and a.

      Answer

  2. Find the unknown angle. State your answers rounded to the nearest whole number.

    1. This is an image of a right triangle. The hypotenuse is marked as 5 centimetres. One other side is marked as 4 centimetres. The angle included by these two sides is marked as theta.

      Answer

    2. This is an image of a right triangle. The hypotenuse is marked as 5.2 centimetres, and one other side is marked as 4.3 centimetres. The angle opposite the 4.3-centimetre side is marked as theta.

      Answer

  3. Locate the ordered pairs on the following grid.

    This is an image of the Cartesian plane. The grid extends from –6 to 6 in both the x and y directions.
    1. (−3, 4) Answer

    2. (3, 4) Answer

  4. The Cartesian plane is divided into four quadrants. For each of the following, indicate the quadrant number in which the ordered pair is located.

    1. (2, −3) Answer

    2. (−3, −2) Answer

How did the questions go? If you feel comfortable with the concepts covered in the questions, skip forward to Discover. If you experienced difficulties, use the resources in Refresher to review these important concepts before continuing through the lesson.