SOLUTION: Solve each item completely. 1. Due to 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 give

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Question 799682: Solve each item completely.
1. Due to 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)= √(2rh+h^2 )
where r =3960 mi is the radius of the earth and D and h are measured in miles.
a. How far can you see from the observation deck of Toronto’s CN Tower,
1135 ft above the ground?
b. Commercial aircraft fly at an altitude of about 7 mi. How far can the
pilot see?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1. Due to 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) = sqrt%282rh%2Bh%5E2%29
where r =3960 mi is the radius of the earth and
D and h are measured in miles.
:
a. How far can you see from the observation deck of Toronto’s CN Tower,
1135 ft above the ground?
d = 1135%2F5280 = .2145 mi
D(h) = sqrt%28%282%2A3960%2A.2145%29%2B.2145%5E2%29
D(h) = 41.2 mi
:
b. Commercial aircraft fly at an altitude of about 7 mi.
How far can the pilot see?
D(h) = sqrt%28%282%2A3960%2A7%29%2B.7%5E2%29
D(h) = 235.56 mi