Abuilding 84 ft high casts a 46 ft shadow. how tall is a building that casts a 110 ft shadow at the same time of the day? (to the nearest tenth) a) 180.1 ft b) 188.6 ft c) 190.4 ft d) 200.9 ft

The ratio of building heights will be the same as the ratio of shadow lengths.
  (taller building)/(shorter building) = (longer shadow)/(shorter shadow)
  (taller building)/(84 ft) = (110 ft)/(46 ft) . . . . . . fill in the given numbers
  (taller building) = (84 ft)*(110/46) ≈ 200.9 ft . . multiply by 84 ft, evaluate

The appropriate selection is
  D) 200.9 ft