How Does Yacht Movement Affect Angle of Depression?

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The discussion focuses on calculating the angle of depression from a cliff to a yacht that initially is 200 meters out to sea at a 20-degree angle. After the yacht sails 150 meters parallel to the cliff, the new angle of depression is determined to be 16 degrees. The calculations involve understanding the geometry of the situation and applying trigonometric principles. The problem emphasizes the relationship between the yacht's movement and the change in the angle of depression. The correct answer to the angle of depression in the yacht's new position is confirmed as 16 degrees.
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From the top of a cliff, which runs North-South, the angle of depression of a yacht, 200 m out to sea and due east of the observer is 20 degress. When the observer next looks at the yacht he notices it has sailed 150m parallel to the cliff. Find:

The angle of depression of the yacht from the top of the cliff when it is in its new position, to the nearest degree.The correct answer is 16 degrees
 
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Ruturaj Vaidya said:
From the top of a cliff, which runs North-South, the angle of depression of a yacht, 200 m out to sea and due east of the observer is 20 degress. When the observer next looks at the yacht he notices it has sailed 150m parallel to the cliff. Find:

The angle of depression of the yacht from the top of the cliff when it is in its new position, to the nearest degree.The correct answer is 16 degrees
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