One of the options for how Watertown High School may sit on the current site, on the left, and across the street where now the Phillips Building and the Senior Center sit. The architect said the illustration is for massing, and not the design of the buildings. Questions about the impact of a four story high school, and parking at the new Watertown High School arose at Wednesday’s School Building Committee meeting. Designers of the new high school showed more detailed ideas of how the new school could be constructed on the current site during the online meeting. The planned Watertown High School project will be discussed at a virtual Community Forum on Thursday, Oct.