A tourist at scenic Point Loma, California uses a telescope to track a boat approaching the shore. If the boat moves at a rate of 15 meters per second, and the lens of the telescope is 45 meters above water level, how fast is the angle of depression of the telescope (0) changing when the boat is 180 meters from shore? Round any intermediate calculations to no less than six decimal places, and round your final answer to four decimal places. Answer rad/s Keypad Keyboard Shortcuts

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
Section3.3: Definition Iii: Circular Functions
Problem 62PS
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A tourist at scenic Point Loma, California uses a telescope to track a boat approaching the shore. If the boat moves at a rate of 15 meters per second, and the lens of the
telescope is 45 meters above water level, how fast is the angle of depression of the telescope (0) changing when the boat is 180 meters from shore? Round any
intermediate calculations to no less than six decimal places, and round your final answer to four decimal places.
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Transcribed Image Text:A tourist at scenic Point Loma, California uses a telescope to track a boat approaching the shore. If the boat moves at a rate of 15 meters per second, and the lens of the telescope is 45 meters above water level, how fast is the angle of depression of the telescope (0) changing when the boat is 180 meters from shore? Round any intermediate calculations to no less than six decimal places, and round your final answer to four decimal places. Answer rad/s Keypad Keyboard Shortcuts
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