As noted above the Pythagorean Theorem is the geometry used to determine the answer mathematically. And also noted was the issue with where measurements are taken. In a practical evolution, I'd suggest raising the stick steeper than the objective and extending to a point above the objective then tipping in. It's easier for me to spot the tip when angling down into position than extending out directly to the objective. This is also how we teach placement for rescues so that the occupant doesn't get tempted to jump onto the aerial.

Hello Adam

From my experience and what i teach, the Pythagorean Theorem is a good reference to give an average when positioning the apparatus. Then the tip you gave us to go above the objective and tipping down is good for roof operation but in rescue we dont want to tip down on a victim because we dont want her to grab the underside of the ladder. In rescue what we teach here is that your last move will always be an extension or rotation. You'll bring the tip of the ladder at about 10 to 12 feet of the objestive the do the final adjustment that will assure you that on your final move, extension or rotation, depending on the situation, you'll get staight at the victim. And as soon as the victim touch the aerial you stop your manoeuver.

I'm not saying that it's the only way to do, but it's our way and it worked well so far

Regards

Pascal

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No need for me to reiterate the math side of theoretical positioning, and that is really all it is good for, theory & written tests (unless you have a ruler affixed to your aerial).  Practice & experience is still the best method, in reality try to establish landmarks on the aerial as it extends, as to how far out it is.  In some cases I've seen departments that paint small alignment marks indicating how far out the ladder is.  I always keep 2  9"-12" broom stick handles on our platform with a couple of bungi cords apiece.  I affix these to the base of the platform on each corner with about 6-9" sticking out from the paltform.  As I maneuver in towards the building I can see when the stick touches the building and I know I'm 6-9" away.  This way I don't have to "sneak up" on the building and it causes no damage to either the platform or the building.

  As for the best way to approach a victim for rescue, each has it's own merits and arguments. The victim will try to jump down & in, the victim will try to jump up & grab.  Situation will probably dictate what tactic you should use.  As Pascal stated I have found that either rotaing or extending in, top rail of platform slightly below victim level works best for me.  If they do try to jump, it offers the least chance for miss/injury by the victim.

 

  I know that this is probably outdated and doesn't really answer your question but your question has too many questions attached to it as you are aware.  Drew hit the nail on the head though.  As a legitimate test question it has to have a reference and the reference needs to give you the information you need to determine the answer.  Hopefully your department has resolved this by now and that the above information helps in the reality of your aerial operations.