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7 June, 18:33

When flying at an altitude of 5 miles, the lines of sight to the horizon looking north and south make about a 173.7 degree angle. how much of the longitude line directly under the plane is visible from 5 miles high?

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  1. 7 June, 21:39
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    5 miles high is one of the sides of a triangle depending on accuracy level

    h^2=x^2+y^2

    we don't have 2 distances

    Tan A=O/a

    O=a tan A

    We solve for O because the angle is at the top of the line going up and we want the opposite angle that is along the ground

    O=5*tan (173.7/2) = 90.854033512

    The distance he can see is:

    90.85*2~181.7 miles

    Now we need to find the distance between lines:

    The north south distance between each line is 69 miles

    thus the number of degrees he will see will be:

    181.7/69

    =2 19/30
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