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The angular size of the broad line region (BLR) of the nearby active galacticnucleus (AGN) NGC 3783 has been spatially resolved by recent observations withVLTI/GRAVITY. A reverberation mapping (RM) campaign has also recently obtainedhigh quality light curves and measured the linear size of the BLR in a way thatis complementary to the GRAVITY measurement. The size and kinematics of the BLRcan be better constrained by a joint analysis that combines both GRAVITY and RMdata. This, in turn, allows us to obtain the mass of the supermassive blackhole in NGC3783 with an accuracy that is about a factor of two better than thatinferred from GRAVITY data alone. We derive$M_\mathrm{BH}=2.54_{-0.72}^{+0.90}\times 10^7\,M_\odot$. Finally, and perhapsmost notably, we are able to measure a geometric distance to NGC 3783 of$39.9^{+14.5}_{-11.9}$ Mpc. We are able to test the robustness of the BLR-basedgeometric distance with measurements based on the Tully-Fisher relation andother indirect methods. We find the geometric distance is consistent with othermethods within their scatter. We explore the potential of BLR-based geometricdistances to directly constrain the Hubble constant, $H_0$, and identifydifferential phase uncertainties as the current dominant limitation to the$H_0$ measurement precision for individual sources.

A geometric distance to the supermassive black Hole of NGC 3783