The view V, or distance in miles, that one can see to the horizon from a height h, in feet, is given by V = 1.42√/h. a) Find the rate of change of V with respect to h. b) How far can one see to the horizon from an airplane window at a height of 10,000 ft? c) Find the rate of change at h = 10,000. d) Explain the meaning of your answers to parts (a) and (c).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 38E
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The view V, or distance in miles, that one can see to the horizon from a height h, in feet, is given by
V = 1.42√/h.
a) Find the rate of change of V with respect to h.
b) How far can one see to the horizon from an airplane window at a height of 10,000 ft?
c) Find the rate of change at h = 10,000.
d) Explain the meaning of your answers to parts (a) and (c).
Transcribed Image Text:The view V, or distance in miles, that one can see to the horizon from a height h, in feet, is given by V = 1.42√/h. a) Find the rate of change of V with respect to h. b) How far can one see to the horizon from an airplane window at a height of 10,000 ft? c) Find the rate of change at h = 10,000. d) Explain the meaning of your answers to parts (a) and (c).
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