B2 The distance l from a point at a height h above the Earth’s surface
to the horizon can be approximated using Pythagoras’ theorem by the
expression:
where re is the radius of the Earth.
(a) Find an expression which serves as a linear approximation for l at
h=1000 m.
(b) Give two assumptions you think have been made in deriving the
expression above.
Mathematics Homework Solutions
#2297
Linearization of a function. Attachments in Word.
The distance l from a point at a height h above the Earth's surface to the horizon can be approximated using Pythagoras' theorem by the expression: (Please see the attachment below)
(a) Find an expression which serves as a linear approximation for l at h=1000 m.
(b) Give two assumptions you think have been made in deriving the expression above.
This shows how to perform linearization of a function related to the Pythagorean theorem.
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