The height of the isosceles trapezoid is 2.65 meters
The given parameters are:
Base 1 = 5 meters
Base 2 = 11 meters
Length of a leg (l) = 4 meters
The height (h) of the isosceles triangle is calculated using the following Pythagoras theorem
h^2 = l^2 - x^2
Where
x = (base 2 - base 1)/2
So, we have
x = (11 -5)/2
This gives
x = 3
Recall that
h^2 = l^2 - x^2
Substitute the known values in the above equation
h^2 = 4^2 - 3^2
Evaluate the exponents
h^2 = 7
Take the square roots
x = 2.65
Hence, the height of the isosceles trapezoid is 2.65 meters
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