Example 3

A sonar operator on an anchored cruiser detects a pod of dolphins feeding at a depth of about 255 meters directly below. If the cruiser travels 450 meters west and the dolphins remain at the same depth to feed, what is the angle of depression, , from the cruiser to the pod? What is the distance, , between the cruiser and the pod? Round your answers to the nearest whole number.
  1. Make a drawing of the scenario.
  2. Find the angle of depression. Identify the given information to determine which trigonometric function to use.
  3. Determine the distance, .
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