SOLUTION: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane is 10 miles away (s = 10), the radar detects that the distance s is changing at
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Question 1186842: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane is 10 miles away (s = 10), the radar detects that the distance s is changing at a rate of 230 miles per hour. What is the speed of the airplane?
First, we treat x and s as variables:
Now we freeze the variables when s=10, and we use the
value of x when s=10
Now we substitute s=10, x=8, and
The speed of the airplane is 287.5 mph.
Edwin