Question

A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2 kilometers per minute. If the helicopter passes directly over the White House, at what rate is the distance between the helicopter and the White House changing 1 minute after the helicopter flies over the White House?

1 minute after the helicopter passes over the White House, its distance from the White House is changing at a rate of ______ kilometers per minute.

Step 1

The numerical can be constructed as shown below,

let H be the altitude = 0.5 km

V be the speed =2 km/min

The horizontal distance z travelled at the end of 2 minutes will be 2km/min* 2 min=4 kms

Step 2

Let the distance from the white house be given by the red line denoted by X. It can be expressed in terms of V and H as,

Step 3

Substitute the values an...

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