1/2 I guess I don't think you typed in the question correctly. Not trying to be mean.
Answer:
If point C lies between two points A and B such that AC=BC, then point C is the bisector of A and B, that means it is at right the centre.
The length of the latter would be 23 feet because we know one angle is 75 and the angle against the wall is 90 and the base is 6 feet answer is 23 feet