You can do Q1 by drawing a perpendicular line above that apex, the you can use the tan/tan perp/perp snap to find the apex. Then on a curve, if you turn on control points, when they are NOT selected, you can move parts of the curve where there is no control point.
Q2 can be acheived, by trimming your curves ends back, finding and placing Q1, then using rotate and a custom pivot point to get Q2. Then manually finishing the ends off again.
The better bet is to draw your curve with "through points" and just map out the dims first.
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