Answer: 14 feet
Step-by-step explanation:
The formula for finding the area of a triangle is given as :
Area = [tex]\frac{1}{2}[/tex] x base x height
Let the height be h , then the base is 5 times the height , that is the base is 5h.
Substituting into the formula , we have
490 = [tex]\frac{1}{2}[/tex] x h x 5h
490 = [tex]\frac{1}{2}[/tex] x [tex]5h^{2}[/tex]
multiply through by 2
980 = [tex]5h^{2}[/tex]
divide through by 5
196 = [tex]h^{2}[/tex]
Therefore :
h = 14
Therefore : the height is 14 feet
