Finn is drafting plans for a staircase that will go from the sidewalk to the doorway of a historic building 848484 feet \text{(ft)}(ft)start text, left parenthesis, f, t, right parenthesis, end text above. He measures the length of a string stretched from the sidewalk to the door and finds it to be 123\text{ ft}123 ft123, start text, space, f, t, end text, as shown at left. What angle \thetaθtheta, above the horizontal, should be used to build this staircase? (Round your answer to the nearest hundredth of a radian.)