🚀Related Rates Trigonometry problem ! ! ! ! ! - vTomb

🚀Related Rates Trigonometry problem ! ! ! ! !

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RELATED RATES PLAYLIST: https://goo.gl/85bbsG
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In this video you will learn how to find the Maximum Rate of Change of the angle between the observer and the airplane, given the speed of the airplane and its altitude relative to the ground.

A spectator at an air show is trying to follow the flight of a jet. The jet follows a straight path in front of the observer at 540 miles per hour. At its closest approach, the jet passes 600 feet in front of the person. Find the maximum rate of change of the angle between the spectator's line of sight and a line perpendicular to the flight path, as the jet flies by.

0:40 Drawing & Understanding picture with given Info
2:44 Converting from miles per hour to feet per second
3:40 Understanding what needs to be solved for - max θ'(t)
4:32 Finding equation involving angle θ(t)
5:07 Differentiating the found equation implicitly
5:36 Rewriting equation that solves for θ'(t)
5:55 Solving for θ'(t) by plugging in known quantities into equation
6:22 Understanding how to find the maximum value for θ'(t)

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