Figure 10.

Experiment 3: Derived perceived eye-to-target distance. We derived the perceived eye-to-target distance (d_eye) from the formula, d²_eye=d²_w+(H-h_g)², where d_w and h_g are, respectively, the walked horizontal distance and gestured height and H is the eye height. The graph plots d_eye as a function of the physical angular declination (α) of the target for both conditions (filled circles: same-angular-size; open circles: same-physical-size). Clearly, d_eye increases as α decreases and is longer (farther) in the same-physical-size condition than in the same-angular-size condition, and their difference increases as the angular declination decreases.