We used to ask students the same type question on tests. Your name would still be in the same spot (4' from the ground) except it would be overgrown by bark as the tree grows in diameter.
Growth occurs in meristems. A meristem is a tissue containing cells that have the capacity to divide to make new cells. Shoots elongate or grow in height at the tips of the branches. Apical meristems are located in the terminal buds at the tips of the branches. Between the wood and bark is a thin layer of dividing meristematic cells called the vascular cambium. The cambium divides producing new wood towards the inside and bark on the outside. These new cells increase the diameter of the trunk and branches.