Question 167014
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(h)}}} = 392
:
Divide both sides by 3.5:
{{{sqrt(h)}}} = {{{392/3.5}}}
:
{{{sqrt(h)}}} = 112
:
Square both sides:
h = 112^2
:
h = 12,544 meters
:
:
Check solution on a calc: enter 3.5*{{{sqrt(12544)}}} = 392