Calculating the section property is usually the most confusing part of the the transverse shear stress calculation.
To calculate , begin by slicing through the cross section at the point of interest in a direction perpendicular to the direction of the internal shear force.
For this problem, the shear stress is required at , located above the bottom of the tee shape. Since the shear force acts in a vertical direction, we will slice through the tee in a horizontal direction at .