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, [math]x[/math], from the cruiser to the pod? What is the distance, [math]y[/math], between the cruiser and the pod? Round your answers to the nearest whole number.
[list=1][br][*]Make a drawing of the scenario.[br][*]Find the angle of depression. Identify the given information to determine which trigonometric function to use.[br][*]Determine the distance, [math]y[/math].[br][/list][br][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information.

Information: Example 3