Question

A plane flying horizontally at an altitude of 1 mi and a speed of 530 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. (Round your answer to the nearest whole number.)

Answer 1

thats confusing

Answer 2

\[
s^2 = x^2 + 1 \\
\text{Differentiate with respect to t:} \\
2s\frac{ds}{dt} = 2x\frac{dx}{dt} \\
2s\frac{ds}{dt} = 2\sqrt{s^2-1}\frac{dx}{dt} \\
s = 5~\text{miles}; \frac{dx}{dt} = 530 ~\text{mph} \\
2 * 5 * \frac{ds}{dt} = 2 * \sqrt{25-1} * 530 \\
\text{Solve for }\frac{ds}{dt}
\]

Answer 3

i got the wrong answer

Answer 4

What answer did you get?

Answer 5

nevermind i got it