A Television Camera Is Positioned 4,600 Ft from the Base

question 124

Short Answer

A television camera is positioned 4,600 ft from the base of a rocket launching pad. The angle of elevation of the camera has to change at the correct rate in order to keep the rocket in sight. Also, the mechanism for focusing the camera has to take into account the increasing distance from the camera to the rising rocket. Let's assume the rocket rises vertically and its speed is 680 ft/s when it has risen 2,600 ft. If the television camera is always kept aimed at the rocket, how fast is the camera's angle of elevation changing at this moment? Round the result to the nearest thousandth.

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Definitions:

Innate Ability

A natural talent or skill that a person is born with, not acquired through learning or experience.

Stanford-Binet Intelligence Scale

A standardized test that assesses intelligence and cognitive abilities in children and adults, first developed to identify students needing educational assistance.

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A measure of a person's intelligence as indicated by an intelligence test, expressed as a score derived from standardized tests.