Let me add to the previous answer: In mixing length theory the mixing length is often defined as the friction velocity ${u^*}$${u_*}$ divided by the vertical shear $\frac{dU}{dz}$. Both of these quantities can be measured more or less directly at different heights. In the absence of buildings/canopy the mixing length is to a first approximation proportional to ${z}$.
The displacement height ${d}$ is given by the height at which the mixing length approaches zero. The friction velocityroughness length ${z_0}$ is, however, still needed to match the wind speed profile.