Question

The view V from the air is directly proportional to the square root of the altitude A. If the view from horizon to horizon at an altitude of 16,000 ft is approximately 154 mi, then what is the view from 36,000ft?

Answer 1

The view from 36,000ft is about 231 miles.

Equation

An equation is an expression used to show the relationship between two or more variables or numbers.

Let V represent the view and A the altitude.

V ∝ √A

V = k√A

Where k is the constant of proportionality.

V = 154, A = 16000, hence:

154 = k√16000

k = 1.217

V = 1.217√A

At A = 36000:

V = 1.217√36000 = 231 miles

The view from 36,000ft is about 231 miles.

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