SOLUTION: At a height of h meters you can see V kilometere to the hozizon These number are related by the equation V = 3.5 sqrt(h) A person can see 392 km to the horizon from an airplane win

Algebra ->  Square-cubic-other-roots -> SOLUTION: At a height of h meters you can see V kilometere to the hozizon These number are related by the equation V = 3.5 sqrt(h) A person can see 392 km to the horizon from an airplane win      Log On


   

Question 167014: At a height of h meters you can see V kilometere to the hozizon These number are related by the equation V = 3.5 sqrt(h) A person can see 392 km to the horizon from an airplane window. How high is the airplane?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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At a height of h meters you can see V kilometers to the horizon. These numbers are related by the equation V = 3.5 sqrt(h) A person can see 392 km to the horizon from an airplane window. How high is the airplane?
:
Substitute 392 for V in the given equation and find h
3.5*sqrt%28h%29 = 392
:
Divide both sides by 3.5:
sqrt%28h%29 = 392%2F3.5
:
sqrt%28h%29 = 112
:
Square both sides:
h = 112^2
:
h = 12,544 meters
:
:
Check solution on a calc: enter 3.5*sqrt%2812544%29 = 392