Because of the curvature of the earth, the maximum distance D that you can see from the top of a tall building or from an airplane at height h is given by the function D(h) = V 2rh + h2 where r = 3960 mi is the radius of the earth and D and h are measured in miles. (Assume there are 5280 feet in a mile. Round your answers to one decimal place.) (a) Find D(0.2) and D(0.8). D(0.2) = mi D(0.8) = mi (b) How far can you see from the observation deck of Toronto's CN Tower, 1135 ft above the ground? mi (c) Commercial aircraft fly at an altitude of about 7 mi. How far can the pilot see? mi (d) Find the net change in the value of distance D ash changes from 1135 ft to 7 mi. mi

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.1: Functions
Problem 84E
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Because of the curvature of the earth, the maximum distance D that you can see from the top of a tall building or from
an airplane at height h is given by the function
D(h)
= V 2rh + h2
where r = 3960 mi is the radius of the earth and D and h are measured in miles. (Assume there are 5280 feet in a mile.
Round your answers to one decimal place.)
(a) Find D(0.2) and D(0.8).
D(0.2) =
mi
D(0.8) =
mi
(b) How far can you see from the observation deck of Toronto's CN Tower, 1135 ft above the ground?
mi
(c) Commercial aircraft fly at an altitude of about 7 mi. How far can the pilot see?
mi
(d) Find the net change in the value of distance D ash changes from 1135 ft to 7 mi.
mi
Transcribed Image Text:Because of the curvature of the earth, the maximum distance D that you can see from the top of a tall building or from an airplane at height h is given by the function D(h) = V 2rh + h2 where r = 3960 mi is the radius of the earth and D and h are measured in miles. (Assume there are 5280 feet in a mile. Round your answers to one decimal place.) (a) Find D(0.2) and D(0.8). D(0.2) = mi D(0.8) = mi (b) How far can you see from the observation deck of Toronto's CN Tower, 1135 ft above the ground? mi (c) Commercial aircraft fly at an altitude of about 7 mi. How far can the pilot see? mi (d) Find the net change in the value of distance D ash changes from 1135 ft to 7 mi. mi
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