(11C) Tree Heights
11-04-2018, 04:57 PM (This post was last modified: 11-04-2018 05:35 PM by Dieter.)
Post: #9
 Dieter Senior Member Posts: 2,398 Joined: Dec 2013
RE: (11C) Tree Heights
(11-04-2018 03:32 PM)Thomas Klemm Wrote:  We don't really need trigonometric functions here.
Good old Pythagoras is good enough:

Great! This way it can also be done on the 12C and other calculators without trigs or polar/rectangular conversion:

Code:
01 X<>Y 02 - 03 LstX 04 ENTER 05 x 06 EEX 07 4 08 + 09 √x 10 ÷ 11 × 12 GTO 00

Since no →P is required this may even run slightly faster than Thomas' original version. If available, replace "ENTER x" with x².

(11-04-2018 03:32 PM)Thomas Klemm Wrote:  Examples:

56 ENTER
20 ENTER
40 A
10.9825

56 ENTER
-20 ENTER
40 A
32.9475

Same for the above version. Press [R/S] instead of [A]. ;-)

I you, like me, prefer to enter base distance [ENTER] tip slope [ENTER] base slope, simply remove the first line.

Gamo, if you want to implement this for the 11C using the label keys A...D, here is an adapted version:

Code:
01 LBL A 02 STO 1 03 RTN 04 LBL B 05 STO 2 06 RTN 07 LBL C 08 STO 3 09 RTN 10 LBL D 11 RCL 3 12 RCL 2 13 - 14 RCL 2 15 x² 16 EEX 17 4 18 + 19 √x 20 ÷ 21 RCL 1 22 x 23 RTN

This thread shows once again how a new approach and a bit of better mathematical insight can substantially improve a given solution. So don't adapt programs or algorithms, rethink the problem and realize your own solution. Or "dare to think for yourself", as others have put it.

Dieter
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 Messages In This Thread (11C) Tree Heights - Gamo - 11-02-2018, 01:24 PM RE: (11C) Tree Heights - SlideRule - 11-02-2018, 02:43 PM RE: (11C) Tree Heights - Dieter - 11-02-2018, 06:15 PM RE: (11C) Tree Heights - SlideRule - 11-02-2018, 07:03 PM RE: (11C) Tree Heights - Dieter - 11-02-2018, 07:41 PM RE: (11C) Tree Heights - Gamo - 11-03-2018, 01:35 AM RE: (11C) Tree Heights - Dieter - 11-03-2018, 12:47 PM RE: (11C) Tree Heights - Thomas Klemm - 11-04-2018, 03:32 PM RE: (11C) Tree Heights - Dieter - 11-04-2018 04:57 PM RE: (11C) Tree Heights - ijabbott - 11-22-2018, 05:27 PM RE: (11C) Tree Heights - Gamo - 11-05-2018, 12:52 AM

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