hard · Enhanced ACT math

From the top of a lighthouse, the angle of depression to a nearby boat is 60^circ. From the same point, the angle of depression to a boat 40 feet farther out (in line with the first boat) is 30^circ.

To the nearest tenth of a foot, how tall is the lighthouse?

  1. 20.0 feet
  2. 23.1 feet
  3. 34.6 feet
  4. 69.3 feet

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