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A radar-tracking dish located 2400 meters from the base of a spaceship's launching pad is always aimed at the spaceship at any given time. The spaceship takes off and at the instant that it is 700 meters above the ground, it is rising at a rate of 500m/s. How fast is the angle of elevation of the spaceship from the tracking dish changing at this instant?

A radar-tracking dish located 2400 meters from the base of a spaceship's launching pad is always aimed at the spaceship at any given time. The spaceship takes off and at the instant that it is 700 meters above the ground, it is rising at a rate of 500m/s. How fast is the angle of elevation of the spaceship from the tracking dish changing at this instant?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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A radar-tracking dish located 2400 meters from the base of a spaceship's launching pad is always aimed at the spaceship at any given time. The spaceship takes off and at the instant that it is 700 meters above the ground, it is rising at a rate of 500m/s. How fast is the angle of elevation of the spaceship from the tracking dish changing at this instant?
Transcribed Image Text:A radar-tracking dish located 2400 meters from the base of a spaceship's launching pad is always aimed at the spaceship at any given time. The spaceship takes off and at the instant that it is 700 meters above the ground, it is rising at a rate of 500m/s. How fast is the angle of elevation of the spaceship from the tracking dish changing at this instant?
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