Final answer:
The maximum height the golf ball reaches during its flight is approximately 1.16 units.
Step-by-step explanation:
The maximum height the golf ball reaches during its flight can be found by determining the vertex of the equation f(t) = -16t^2 + 37t + 1.8. The vertex form of a quadratic equation is h = -b/(2a), where a, b, and h represent the coefficients of the equation. In this case, a = -16 and b = 37. Plugging these values into the formula, we get:
h = -37/(2*(-16)) = 37/32 ≈ 1.16
Therefore, the maximum height the golf ball reaches is approximately 1.16 units.