geometry - How to construct an isosceles triangle given the base angle and height to one side? - Mathematics Stack Exchange

I've got this math exercise. It reads: Construct an isosceles triangle given the base angle and height to one side. How many solutions exist? Why? I made a sketch, but still can't figure out

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10th grade) how do I do this, I don't know where to begin? : r

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geometry - Isosceles triangle - Mathematics Stack Exchange