A radio station obtains a permit to increase the height of their radio tower on Queen Anne Hill by no more than 100 feet. You're the head of the Queen Anne Community Group and one of your members asks you to make sure that the radio station does not exceed the limits of the permit. after finding a relatively flat area nearby the tower (not necessarily the same altitude as the bottom of the tower),and standing some unknown distance away from the tower, you make three measurement all at the same height above sae level. You observer hath the top of the tower makes an angle of 38 degree above level. Finally, after the new construction is complete, you observe that the new top of the tower, from the same point as the second measurement was made, makes an angle of 40 degree above the horizontal. All three measurement are made at the same height above sea level and are In line with the tower. Find the height of the addition to the tower to the nearest foot.