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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.

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.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:** 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 (θ) 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:** *The answer box is empty with a space designated for the result in radians per second (rad/s).*
Transcribed Image Text:**Problem Statement:** 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 (θ) 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:** *The answer box is empty with a space designated for the result in radians per second (rad/s).*
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