Question 1002009
It helps to draw this
The arc is (2.34/2.5) radians or 0.936 radians.
This is 53.628 degrees.
The horizontal displacement is the sine of the complement (36.372 degrees) divided by the hypotenuse, which is the radius of 2.5.  The triangle has hypotenuse 2.5, the leg leading to the 12 o'clock position is the vertical displacement, and the leg leading into the first quadrant is the horizontal displacement.
The horizontal displacement is 1*sin {(pi/2)-0.936}=1* sin 0.634 radians, or 0.593 radian horizontal displacement.  This would be 1.48 inches.