The horizontal distance covered by pilot is 17,972.2 feet.
Step-by-step explanation:
Given,
Distance covered descending = 1000 feet
Diagonal distance = 18,000 feet
The horizontal distance will form a right triangle, therefore, we can find the horizontal distance by using pythagoras theorem.
Here,
a = 1000
b = horizontal distance
c = 18000
[tex]a^2+b^2=c^2\\(1000)^2+b^2=(18000)^2\\1000000+b^2=324000000\\b^2 = 324000000-1000000\\b^2=323000000[/tex]
Taking square root on both sides
[tex]\sqrt{b^2}=\sqrt{323000000}\\b=17972.2[/tex]
The horizontal distance covered by pilot is 17,972.2 feet.
Keywords: pyathoras theorem, square root
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