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# Trigonometry Word Problems: The Rate of Change of an Angle

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Please see the attached file for the diagram associated with this problem.

Question: An airplane is flying at an altitude of 8 miles towards a point directly over an observer. If the speed of the plane is 615 miles per hour, find the rate at which the angle of observation, theta, changing by at the moment when the angle is 21 degrees.

https://brainmass.com/math/trigonometry/trigonometry-word-problems-rate-change-angle-232836

#### Solution Preview

find x when the angle is 21 degrees: tan Ѳ = opposite/adjacent = 0.384 = 8/x

x = 20.84 miles between ...

#### Solution Summary

This solution provides an example of using trigonometry in a real problem related to the rate of change of an angle as a plane flies overhead. The solution is provided in a Word document which is attached.

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