Answer
The height of the new fence is 2.5 meters.
Work Step by Step
The original height of the fence is $h_0 = 1.8 ~m$.
The farmer needs to increase the height of the fence by 37%.
We can calculate the height of the new fence.
$h = 1.37~h_0 = (1.37)(1.8~m) = 2.5~m$
The height of the new fence is 2.5 meters.