Solution: If the width of the truck is x meters and the height is (x+2) meters.
The truck can just pass through the tunnel, that is, the width of the truck just passes through, and the top of the truck does not touch the top of the tunnel.
So:
(x/2)^2+(x+2-5)^2=(5/2)^2
x^2/4+x^2-6x+9-25/4=0
5x^2-24x+ 1 1=0
According to the root formula
X 1=[24+ radical symbol (576-220)]/ 10=(24+ radical symbol 356)/ 10.
X2=[24 roots (576-220)]/ 10=(24 roots, 356)/ 10.
Judging from the meaning of the problem, the maximum tunnel is 4+5/2 = 6.5; The maximum width is 5.
X2 = (root number 356 of 24)/10 ≈ 0.513.
Height =x2+2=2.5 13
Although the width and height are smaller than those of the tunnel, it is not only through, but also very easy to pass, which is irrelevant.
And: x 1=(24+ radical sign 356)/ 10 ≈ 4.29.
Height = x 1+2 = 6.29.
Therefore, the height of the truck is 6.29 meters.