Mental math question

Uh, with radar monitoring, "fly heading (___) and direct Volunteer when able" is perfectly legal.

Direct to a radial-DME fix, not so solid.

That's what I was getting at. I know you can always take radar vectors, but if you can't navigate your way direct a VOR on your own outside the service area, how is that any different than trying to go direct some point in space without RNAV equipment?
 
That's what I was getting at. I know you can always take radar vectors, but if you can't navigate your way direct a VOR on your own outside the service area, how is that any different than trying to go direct some point in space without RNAV equipment?
You will eventually be able to go direct Volunteer on your own.
 
You will eventually be able to go direct Volunteer on your own.

You're not understanding what I'm saying.

Yes you will eventually pick up the VOR, but when you can't, the only way legally to go direct is to take a vector. If you're not RNAV equipped, at what point would you pick up the radial/DME fix you're navigating to? Seems like a quick way to get a pilot deviation to me.

I had to take a entire class dedicated to this stuff in college, my opinion is most of this, like the pencil trick, is useless trivia that has no application in the real world.

Side note - not currently qualified for Delta or trying to get on, but if I was, I would know any mental math or nav trick down cold without any complaints and ask what else I need to know.
 
The point is not whether or not the mental math in question is applicable but whether or not you understand the "why" of what is done for us by computers today and probably more importantly....1) did you study and understand the concepts 2) can you apply those concepts under pressure on interview day.

In my experience the test questions were actually a little more simple than the gouge I had. That being said, understanding the gouge made the math portions of the test much easier.
 
Yes you will eventually pick up the VOR, but when you can't, the only way legally to go direct is to take a vector. If you're not RNAV equipped, at what point would you pick up the radial/DME fix you're navigating to? Seems like a quick way to get a pilot deviation to me.

They can't give you the clearance to begin with if you aren't RNAV/IRU equipped. The FARs require you to report the loss of any required navigational equipment in flight if it happens so they wouldn't give you that clearance after that. If they give you a vector it will be something like "fly heading XXX and proceed direct XXX upon receiving."
 
They can't give you the clearance to begin with if you aren't RNAV/IRU equipped. The FARs require you to report the loss of any required navigational equipment in flight if it happens so they wouldn't give you that clearance after that. If they give you a vector it will be something like "fly heading XXX and proceed direct XXX upon receiving."

Ahh the old DC9 direct. Those were the days!
 
They can't give you the clearance to begin with if you aren't RNAV/IRU equipped. The FARs require you to report the loss of any required navigational equipment in flight if it happens so they wouldn't give you that clearance after that. If they give you a vector it will be something like "fly heading XXX and proceed direct XXX upon receiving."

Trust me, I know how this stuff works and the legality behind. The point I have been trying to make is, you can't use a pencil trick to go direct to a point in space, so why do I need to know it? But I guess that's how aviation works.

And again, I understand this is a Delta question on a Delta test and they have every right to ask whatever they want. I'm just making a statement because I run into pilots all the time that think knowing trivia like this is vital to operating an aircraft.
 
Yes you will eventually pick up the VOR, but when you can't, the only way legally to go direct is to take a vector. If you're not RNAV equipped, at what point would you pick up the radial/DME fix you're navigating to? Seems like a quick way to get a pilot deviation to me.

Are you saying that you can't fly to a VOR that you are not receiving when not equipped with RNAV?
 
Trust me, I know how this stuff works and the legality behind. The point I have been trying to make is, you can't use a pencil trick to go direct to a point in space, so why do I need to know it? But I guess that's how aviation works.
Situational awareness?
 
Here's one for you geniuses... How do you solve this? It's not in the mental math book unfortunately.
You are on the 090 radial at 20 DME. What heading would you fly to go direct to the 60 DME fix on the 190 radial of the same VOR?

I would fly a magnetic course of 207. The heading I fly would depend on the winds.
395eec90b2b148d92666e1433dc14d61_zps27de653f.jpg
 
Here's one for you geniuses... How do you solve this? It's not in the mental math book unfortunately.
You are on the 090 radial at 20 DME. What heading would you fly to go direct to the 60 DME fix on the 190 radial of the same VOR?

No idea how to do this mentally aside from just visualizing the picture and knowing that its between 190 and 210. But regardless heres the trig:

Pythagorean Theorm: A2 + B2 = C2
20^2 + 60^2 = 4000. SquareRoot(4000) = 63.25
HBvMWJ4.png


At this point you can already tell the heading will be between 190 and 210ish.

Now you must solve for the angle that will give you the heading(or course).

IEmUzWs.png
 
No idea how to do this mentally aside from just visualizing the picture and knowing that its between 190 and 210. But regardless heres the trig:

Pythagorean Theorm: A2 + B2 = C2
20^2 + 60^2 = 4000. SquareRoot(4000) = 63.25
HBvMWJ4.png


At this point you can already tell the heading will be between 190 and 210ish.

Now you must solve for the angle that will give you the heading(or course).

IEmUzWs.png

Now plot those points on a sectional and find the magnetic course between them. You should get 207.
 
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No idea how to do this mentally aside from just visualizing the picture and knowing that its between 190 and 210. But regardless heres the trig:

Pythagorean Theorm: A2 + B2 = C2
20^2 + 60^2 = 4000. SquareRoot(4000) = 63.25
HBvMWJ4.png


At this point you can already tell the heading will be between 190 and 210ish.

Now you must solve for the angle that will give you the heading(or course).

IEmUzWs.png
Pythagorean Theorem (on flat Euclidean geometry) only works for triangles where one of the angles is 90 degrees i.e. a right triangle:

http://en.wikipedia.org/wiki/Pythagorean_theorem

For non-right triangles in flat Euclidean geometry, use Law of Cosines:

http://en.wikipedia.org/wiki/Law_of_cosines

Jussst sayyyin =)
 
No idea how to do this mentally aside from just visualizing the picture and knowing that its between 190 and 210. But regardless heres the trig:

Pythagorean Theorm: A2 + B2 = C2
20^2 + 60^2 = 4000. SquareRoot(4000) = 63.25
HBvMWJ4.png


At this point you can already tell the heading will be between 190 and 210ish.

Now you must solve for the angle that will give you the heading(or course).

IEmUzWs.png
First guy who whips out a scientific calculator in the cockpit does NOT get invited for beers after the flight. ;)
 
departure (E/W) in NM = ∆ longitude (in minutes) x cosine latitude
(earth) convergency = ∆ longitude x sine mean latitude
conversion angle = ½ x convergency
And going N/S every LAT is 60NM
 
Pythagorean Theorem (on flat Euclidean geometry) only works for triangles where one of the angles is 90 degrees i.e. a right triangle:

http://en.wikipedia.org/wiki/Pythagorean_theorem

For non-right triangles in flat Euclidean geometry, use Law of Cosines:

http://en.wikipedia.org/wiki/Law_of_cosines

Jussst sayyyin =)

good catch

First guy who whips out a scientific calculator in the cockpit does NOT get invited for beers after the flight. ;)

thats ok. i would never lower myself to beer after enjoying only the finest organtic french bordeaux wines. *swirls glass*
 
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