The factory instructions for calibrating the width settings of the OffCourse system use field measurements including a skier observing the results of a series of gun angle adjustments until the angle appears to shoot the marker the correct distance from the boat. They provide a method for the skier to ski a path 37.5 feet from the boat centerline to make this observation.
To confirm those results, I want to start with one single field measurement and then use "Trig" to set the downward angle of the two paint-ball markers.
I have measured the vertical peak of the OffCourse gun trajectories at 4'11" above the lake surface with the boat traveling at 32mph.
Its a compound Trig problem because the Guns are angled down (calibrated by the user) to set the course width and are also aimed forward 30 degrees, requiring a longer flatter trajectory to hit the 37.5 foot course width.Known Values
1. The trajectory of the left and right barrel intersect in the middle of my boat at 4'11" above the lake surface at 32mph.
2. The guns have a fixed angle to shoot 30 degrees forward of a straight sideways shot - - lengthening the shot's distance to reach the 37.5' course width. Calculated Value
Disregarding normal projectile drop, what angle from horizontal should the guns be set to hit 37.5 from the boat centerline ? Rounded to the nearest .1 degree.
I believe you start by calculating the distance of the shot with the guns angled forward 30 degrees. Then calculate the guns vertical angle to hit the water at that distance.
Using Trig calculators on the web I couldn't figure out those 2 simple problems.
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.The guns aim forward 30 degrees and should aim down (derived)
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