An aircraft is flying horizontally at a constant height of4000 ft above a fixed

Chapter 3, Problem 24

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An aircraft is flying horizontally at a constant height of \(4000 f t\) above a fixed observation point (see the accompanying figure). At a certain instant the angle of elevation \(\theta\) is  and decreasing, and the speed of the aircraft is \(300 \mathrm{mi} / \mathrm{h}\).

(a) How fast is \(\theta\) decreasing at this instant? Express the result in units of .
(b) How fast is the distance between the aircraft and the observation point changing at this instant? Express the result in units of . Use \(1 m i=5280 f t\).

Equation Transcription:

Text Transcription:

theta

300 mi/h

1mi = 5280 ft