1. The problem statement, all variables and given/known data A rocket is being launched along the line y=x from the base of a building, and another rocket is being launched from the top of the building parallel to the bottom rocket. Another rocket is being launched directly upwards away from the building. Find: The height of the building, how far away the third rocket is from the building and find the area the first two rockets cover before crossing the path of the third rocket given that shapes perimeter is 10m. 2. Relevant equations The shape of the area is a parallelogram (A=bh). Based on the perimeter, and assuming the height of the building is the one diagonal side of the shape, its height can be represented as height = 5 - base. 3. The attempt at a solution Since these are rockets, I assume they are a trajectory, forming a parabola. I think that I can find the total height of building by finding the difference between the two vertices. However, I am a little stumped coming up with the formulas for these. The linear equation for the second rockets launching is y=x+height (y=x+5-base). What am I missing? I feel like I am suppose to be assuming something but I don't see it. I have this question for one student of mine that I tutor math in and I just can't see it.... Thanks!