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Home > PC > Chapter 10 > Lesson 10.1.3 > Problem 10-39


Find r in component form if is the standard angle.

  1. and

    Draw each vector in a circle. Then make a right triangle with the -axis.

    Circle, radius in first quadrant, labeled 5, is hypotenuse in right triangle where horizontal leg is part of x axis, central angle of triangle labeled 1 sixth pi = 30 degrees.

    Solve the rest of the triangle.
    Note: Each part forms a special right triangle.

    Labels added, horizontal leg, 5 halves times square root of 3, vertical leg, 5 halves.

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Compute without a calculator