To determine the height of the Eiffel Tower in Paris, France, Jules uses his pocket clinometer that he made in math class, and measured the angle of elevation to the top of the tower to be 81.2 degrees Then he walks 100m down a straight line on the sidewalk that is perpendicular to the tower. The angle to a point directly under the base of the tower is 26.7 degrees. Determine the height of the tower.