Question

Navigators locate an object by measuring its location clockwise direction from due north. The measure of the angle is called the bearing. Suppose a lighthouse's bearing is 135° from an island. Be sure to show and explain all work for each part. Part 1: Find the angle represented by the lighthouse on the unit circle. Part 2: Determine the exact ordered pair associated with the lighthouse on the unit circle. Part 3: Find the exact sine, cosine, and tangent of the angle on the unit circle.

Answer 1

Answer:

• Refer to attached.

Part 1

• Since bearing is taken from north, i.e. 90°, this will be represented by -45° on the units circle.

Part 2

• The ordered pair is: (0.707, -0.707)

Part 3

• sin (-45°) = -√2/2
• cos (-45°) = √2/2
• tan (-45°) = -1