Luke W.

asked • 01/10/18# I need help checking a related rates problem I made. Please help!

As part of a project, I need to create a related rates problem. I made one, but when I work it out, I get an answer that doesn’t look right. This is the problem: A bird is flying north at a speed of 70 ft/sec, 100 ft above the ground. At a certain moment, an observer directly north of the bird is 125 ft from it. At this moment, if the observer is watching the bird at an angle from the ground of 30 degrees, then what is the rate at which the angle is changing? There is my problem, and I would appreciate knowing what you get as your answer.

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## 1 Expert Answer

Edward A. answered • 01/10/18

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High School Math Whiz Grown Up--I've even tutored my grandchildren

Since the bird is flying at 100', and the observer is 125' distant (I assume you mean ground distance, rather than a 125' hypotenuse), sin(theta) is .6246, but sin(30) is .5.

So perhaps your calculation is thrown off by that discrepancy. Try again.

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Doug C.

01/10/18