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# Distance to Earth From an exterior point P that is h units from a circle of radius r, a

## Problem 2.4.75 Chapter 2

Precalculus: Functions and Graphs | 12th Edition

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Problem 2.4.75

Distance to Earth From an exterior point P that is h units from a circle of radius r, a tangent line is drawn to the circle (see the figure). Let y denote the distance from the point P to the point of tangency T.(a) Express y as a function of h. (Hint: If C is the center of the circle, then PT is perpendicular to CT.)(b) If r is the radius of Earth and h is the altitude of a space shuttle, then y is the maximum distance to Earth that an astronaut can see from the shuttle. In particular, if mi and mi, approximate

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