A pilot knows she descended 1,000 feet and traveled a diagonal distance of 18,000 feet.
What was the horizontal distance covered by the pilot?


A-17.9722 ft
B-18027.8 ft
C-16.000 ft
D-15.457 8 ft

A pilot knows she descended 1000 feet and traveled a diagonal distance of 18000 feet What was the horizontal distance covered by the pilot A179722 ft B180278 f class=

Respuesta :

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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