Question 1175607
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Let x be the height;  then the base is (x-2)/2 meters.


The area equation is


    {{{(1/2)*x*((x-2)/2)}}} = 30.


Simplify and solve


    x*(x-2) = 120

    x^2 - 2x - 120 = 0

    (x-12)*(x+10) = 0


Of the two roots,  12  and  -10,  only  x= 12 is positive and makes sense.


<U>ANSWER</U>.  The height is 12 meters.
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Solved.