# When a rocket is 10 kilometers high, it is moving vertically upward at a speed of 1000 kilometers per hour. At that instant, how fast is the angle of elevation of the rocket increasing, as seen by an observer on the ground 5 kilometers from the launching pad?( Hint: The angle of elevation is the angle between the horizontal ground and the line of sight with respect to the rocket. )When the rocket is 10 kilometers high, the angle of elevation from the observer is changing at a rate of  ? radians per hour.

Question
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When a rocket is 10 kilometers high, it is moving vertically upward at a speed of 1000 kilometers per hour. At that instant, how fast is the angle of elevation of the rocket increasing, as seen by an observer on the ground 5 kilometers from the launching pad?

Hint: The angle of elevation is the angle between the horizontal ground and the line of sight with respect to the rocket. )

When the rocket is 10 kilometers high, the angle of elevation from the observer is changing at a rate of  ? radians per hour.

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Step 1

To determine the rate of change of angle of elevation with respect to observer.

Step 2

Given information: Speed of rocket is shown below.

Step 3

Let h is the height and a is the...

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