A Plane Flying Horizontally at an Altitude Of $1 \mathrm { mi }$

Multiple Choice

A plane flying horizontally at an altitude of $1 \mathrm { mi }$ and a speed of $550 \mathrm { mi } / \mathrm { h }$ passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is $2 \mathrm { mi }$ away from the station.

A) $\approx 476 \mathrm { mi } / \mathrm { h }$
B) $\approx 670 \mathrm { mi } / \mathrm { h }$
C) $\approx 455 \mathrm { mi } / \mathrm { h }$
D) $\approx 570 \mathrm { mi } / \mathrm { h }$
E) $\approx 495 \mathrm { mi } / \mathrm { h }$