Answer :
The plane must fly approximately 823.19 meters further to reach the second runway.
How to find the distance
To determine how much further the plane must fly to reach the second runway, we can use trigonometry and the concept of angles of depression.
Using the tangent function:
tan(8°) = opposite / adjacent
tan(8°) = 800 / x
x = 800 / tan(8°)
x ≈ 5692.29
Therefore, the horizontal distance from the plane to the first runway is approximately 5692.29 meters.
Also
tan(7°) = 800 / y
y = 800 / tan(7°)
y ≈ 6515.48
the additional horizontal distance
= 6515.58 - 5692.29
= 823.19 m
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