A plane flying horizontally at an altitude of 1 mile and a speed of 510 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 2 miles away from the station. (Round your answer to the nearest whole number.) mi/h

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

Differentiate w.r.t time (t)

Divide both sides by 2

From the question, we have that the plan travels are 510mi/h.

This implies that:

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

Apply Pythagoras theorem

So, the expression becomes:

Hence, the distance is 442 miles

probably .5

i can on others if necessary.