If the gradient is

one inch of rise every 23.3 inches, what is the angle?

professor
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Comments (24)

45 degree angle ,Ken
@ Ken - wave ... The answer is .02


grin cheers
wave all, not sure but Hans is closer to truth anywaylaugh should be a small angle
@ Aisha - wave ... I only calculated it to 2 decimal points.... conversing


... grin hug wine
Very well done Hansthumbs up pity I don't remember the formulasigh
@ Aisha - wave ... Divide the rise by the length then apply Inverse Tan. Simples with a scientific calculator..... conversing grin

.... grin hug wine
Points..... doh .. I meant 2 decimal places

bloody computer..... scold
Also it is a simple 3 4 5 triangle. one side one inch, one side 23.3 with the height being the 90 degree angle.
Tepid, wrong. laugh

Maybe the conversion from tenths of an inch to inches confuses. Think a side is one and on the other side of the 90 degree angle the leg is 233.
atan(1/23.3) = 2.4575 degrees.
to the horizontal that would be I reckon.
Dieci - that should be atan(0.1/23.3) = ? OR atan(1/233) = ?
I may add this is an interesting Right Angle triangle because the \Hypotenuse (C) is the same as base (B). Asq + Bsq = Csq..
@Ken

why 0.1/23.3 or 1/233?

You said "1 inch of rise every 23.3 inches" that implies that the sides of the triangle in question are 1inch (vertical) and 23.3 inches (horizontal).



PS: The hypotenuses of a right angle triangle has to be larger (in magnitude) than either of its sides.
Er you are correct. I get confused myself sometimes.


One must love the Internet. Where was it when I was 10?



The real world application is/was in machining (drilling) a firing pin channel while making a clone slide for a small pocket pistol, a .22 rimfire. The firing pin channel was inclined. Thhe firing pin channel is 2.3 inches long. If drilled at Zero degrees, the resulting pin location would be appropriate for a centerfire pistol, but not in the least appropriate for a rimfire pistol. One must move the firing pin location up a tenth of an inch. So then the calculation of the angle (using an inclinometer on the drill press) was essential.
@Ken

Well, if the slope is indeed: "1 inch of rise every 23.3 inches" then I was and am correct not almost correct.

Now, if you got the slope wrong, then that ain't me fault. (:
Yes. a tenth of an inch every 2.33 inches which of course x10 gives one inch every 23.3 inches.

Privately of course I much prefer drillings at zero angle. But if I changed the placement of the channel, then other things would also have to change and then it wouldn't be a clone. :)
On a different note, this is the beauty of mathematics init?

It's not a matter of opinion ... there is right and anything else is wrong.. and no one can deny it! I bloody loveeeee this clean-cut nature of philosophy - math in this case. It either adds up or it don't. period. No going round the bush.

(throws himself on the floor and thanks allah for science) (has a mini org in the process as well)
Yes, math is precise.
@ Ken - wave ... doh This is what I get reading the problem without my reading glasses..... Sorry mate I read it as 23.3 feet instead of inches, my bad... conversing


.... grin cheers
@Hans, it was 23.3 feet yesterday, Ken tricked us!roll eyes
@ Aisha - wave ... I thought it was but I had no way to confirm it..... thank you for the clarification, Girl.... thumbs up hug


.... grin hug wine



Shame on you Ken.... tongue
I am such a confused old man. devil laugh
@ Ken - wave ... Therefore I did get the correct answer for 23.3 feet...... yay


.... grin cheers
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