Answer:
The height is [tex]\sqrt{106}[/tex] feet
Step-by-step explanation:
First, lets assign and categorize the information given to us:
Area = 106 [tex]ft^{2}[/tex]
b = 2h (Base is twice the height)
Next, lets look at the formula for the area of a triangle:
Area = [tex]\frac{1}{2} bh[/tex]
Then, lets substitute the given information and solve:
106 = [tex]\frac{1}{2}[/tex] * 2h * h
106 = [tex]h^{2}[/tex]
[tex]\sqrt{106}[/tex] feet = h
