Solution-
Let us ignore air resistance
assuming fence sits on level ground
assume up = positive direction and ground level is the origin
horizontal velocity component= 7.05cos45 =4.98 m/s
To reach the fence from launch point the time needed
1.92 m / 4.98 m/s = 0.38 s
vertical velocity component 7.05sin45 = 4.98 m/s
vertical position when he reaches the fence
y = y₀ + v₀t + ½gt^2
y = 0 + 4.98(0.38) + ½(-9.81)0.38^2
y = 1.18 m
fence clearance= 1.18 - 0.690
=0.49 m
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