GeotechGal:
Being involved with transmission power poles and cell sites, I'm faced with this problem every week. A good check for your work can be found in the 2003 edition of the International Bldg Code,pages 370-371. The formulas are based on Broms and can be easily adapted to a spreadsheet. Suggested passive soil pressures can be found on page 363.
As mentioned by Panars, with signs and free standing poles, don't be overly concerned by groundline deflection or shaft rotation ---- your primary concern is to get enough depth to develop the maximum lateral pressure. In fact, the IBC indicates that the pressures suggested in Table 1804.2, p.363, can be doubled for isolated poles.
Based on an installation in sandy soil with an N-value of only 2 blows (pretty loose stuff with a Kp of only 2.7) and under submerged conditions, I get a depth of only 10 ft (with a 3 ft auger and SF of 2.0) to resist 25 ft-k.
Now, all that being said, I would also have to agree with VAD about tempering your solution with some judgment. Frost heave is certainly a factor to throw in. Also, you need to be sure that the end bearing pressure, coupled with skin friction (if in sand) is sufficient for the axial load.
In any case, I believe that the 42 feet is absolute overkill (unless perhaps you are in the middle of wetlands somewhere). All else being equal, I've seen 120 ft power poles resisting 2000 ft-k that don't require that much depth.