How solve a problem with changing angle for related rates

The video tutorial explains how to find the rate at which the angle of elevation changes as an airplane flies at a constant altitude of five miles towards an observer. The speed of the airplane is 600 mph. The tutorial covers defining variables, setting up equations using trigonometry, and solving them using calculus to find the rate of change of the angle of elevation when the angle is 30 degrees. The process involves using the tangent function and differentiating with respect to time to arrive at the solution.

How is the angle of elevation defined in this context?

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What is the altitude at which the airplane is flying?

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What is the speed of the airplane in miles per hour?

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At what angle of elevation is the rate of change being calculated?

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What is the relationship between the height of the airplane and the distance from the observer?

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What mathematical relationship is used to find the distance X?

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What is the value of X when the angle of elevation is 30 degrees?

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What is the formula used to differentiate the tangent of Theta?

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What assumptions are made about the height of the airplane during the calculations?

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What is the final value of D Theta over DT calculated in the problem?

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