Question 129833
"Solve for (something)" means to do whatever is legal to get that something all by itself on one side of the equal sign (typically the left because we read left to right) and everything else on the other side.


{{{D = 1.2sqrt( h )}}} 


First, turn it around, for the left to right thing:


{{{1.2sqrt( h )=D}}}


Divide by 1.2
{{{sqrt(h)=D/1.2}}}


Then square both sides:
{{{h=(D/1.2)^2}}}


That is really sufficient, although you could square the denominator on the right and make it look like this:
{{{h=D^2/1.44}}} 


For part b, you just need to use the original equation and do some work with your calculator:


{{{D = 1.2sqrt(14255)}}} 


From here on read '=' as 'approximately equal to'


{{{D = 1.2(119.4))}}}


{{{D = 143.3}}}


So from Long's Peak you can see a little over 143 miles, weather permitting.  Given a clear day, Cheyenne, WO should be clearly visible since 89 is considerably less than 143.