Mathematics: Calculus i related rates: an airplane is flying at an altitude of 5 miles and passes directly over a radar antenna (see figure). when the plane is 10 miles away (s = 10), the radar detects that the distance s is changing at a rate of 240 miles per hour. what is the speed of the plane?

Calculus i related rates: an airplane is flying

Ответ:

alex7881

09.06.2020

Let s be the hypotenuse and using the Pythgorean theorem,

s2 = 25 + x2taking the first derivative of the function with respect to t, the result is 2s ds /dt = 2x dx/ dtsubstituting s = 10 and ds/dt= 240,
we get x = sqrt(100-25) = 5√3

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Ответ:

adamsc819

15.07.2021

Mathematics

I suggest its C

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Calculus i related rates:
an airplane is flying at an altitude of 5 miles and passes directly over a radar antenna (see figure). when the plane is 10 miles away (s = 10), the radar detects that the distance s is changing at a rate of 240 miles per hour. what is the speed of the plane?

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