Question

Calc 3 - How to sketch image from contour map? Any good techniques?

Answer 1

I have a midterm soon and I'm having a hard time picturing these contour maps and how to properly draw them

Answer 2

Don't quite get what the numbers mean and the spacing between the lines what represents what

Answer 3

the numbers probably are the height in meters above ground
so the closer the line the steeper the slope coz the height is increasing suddenly
and we ccan get this slope by calculating change in height/distance btwn the lines

Answer 4

i hope this helps :D http://raider.mountunion.edu/~mcnaugma/Topographic%20Maps/contour.htm

Answer 5

Sriram I think you're right but it's still kind of confusing could you expand a bit more? I think you mean the numbers are the increments of the height which for the first one is going at a steady pafe?

Answer 6

pace*

Answer 7

but I don't quite get what oyu mean by the space, steeper the slope?

Answer 8

nope it is not the increase in height but the actual height
13 indicates 13 meters above sea level
whereas -2 indicates 2 meters below sea level

Answer 9

One of the things I did when I was trying to learn this stuff was I made a fist, then drew lines around my knuckels starting at the top with small circles and then working my way down with bigger and bigger ones... once I had a few (maybe 5-6) I layed my hand flat and looked it over, made my fist again, flat again and eventually I just got it.. I dont really have to think about it anymore... so I dont know a good way of explaining it.

Answer 10

so like 38, when it's 0? it's starting at ground level I'm confused with the negative numbers

Answer 11

yeah but bu even need the numbering to tell u how steep is ur fist for instance!

Answer 12

you said it's below sea level but do you show that

Answer 13

imagine it as the ground has been dug that many meters deep!

Answer 14

Oh so it's a pyramid

Answer 15

can you imagine 37?

Answer 16

well done buddy for 38

Answer 17

or 36 the curves are so strange!

Answer 18

2 mountains and a path in btwn the 2

Answer 19

this was for 37

Answer 20

oh and 36 is just like an arc?

Answer 21

in 36 the hight is increasing suddenly and then there is a flat land height 8 meters

Answer 22

*height

Answer 23

how do you know what axis to know this on?

Answer 24

in 35 the land is like a hole in the center with high land on all sides
like the one u get when u rotate ur hand un a bucket filled wid water

Answer 25

like there will be 3 right if it's like 36 or 37 how do you know what goes at the origin

Answer 26

3 axis*

Answer 27

i didnt get ur doubt?

Answer 28

Like I know what the shape looks like but when you sketch it on the 3 coordinate axis, I just don't know where to place the shape. For 35 it's easy b/c it's like a tornado looking shape and you can place the center of the circle at the origin

Answer 29

but for like 36 and 37 where it's more just curves I don't know where to place the 3D shape on the x y z axis

Answer 30

simple just match the base of the 3 d mountains wid the diagram

Answer 31

for 36 u will have to dig in the ground a little and then a hill

Answer 32

okay thanks a lot for your help! sorry for so many questions just want to be prepared for my midterm. Thanks again!