"At noon, ship A is 40 miles due west of ship B. Ship A is sailing west at 23 mph and ship B is sailing north at 25 mph. How fast (in mph) is the distance between the ships changing at 6 PM?" I get how I can get the side lengths, and the rates of change for base and height is given, but I can't find out to get the rate of change for the hypotenuse.
"At noon, ship A is 40 miles due west of ship B. Ship A is sailing west at 23 mph and ship B is sailing north at 25 mph. How fast (in mph) is the distance between the ships changing at 6 PM?" I get how I can get the side lengths, and the rates of change for base and height is given, but I can't find out to get the rate of change for the hypotenuse.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Trigonometry
Section1.8: Applications And Models
Problem 4ECP: From the time a small airplane is 100 feet high and 1600 ground feet from its landing runway, the...
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"At noon, ship A is 40 miles due west of ship B. Ship A is sailing west at 23 mph and ship B is sailing north at 25 mph. How fast (in mph) is the distance between the ships changing at 6 PM?" I get how I can get the side lengths, and the rates of change for base and height is given, but I can't find out to get the rate of change for the hypotenuse.
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