Log 10 Answer

This is a vector geometry question on a coordinate plane, where Q is a known point on the plane, Z is unknown, and the radius of the circle R is 100. The key to solving this problem is realize all of the triangles are right triangles. Given Q = (X₀, Y₀) then:

The following log fragment provides insight on how to apply Z; rounded it is 84150 which is the zip code for Salt Lake City.

…the lines zip together and cross at letters which seem to mean something, some kind of code…

Log #10
The coordinate is 0100010.
The code segment is 0.

Number	Date	Place	Code
Crash	8/23/56	?	n/a
Log #1	2/6/59	?	?
Log #2	7/22/61	?	?
Log #3	1/5/64	?	?
Log #4	6/20/66	?	?
Log #5	12/3/68	?	?
Log #6	5/19/71	?	?
Log #7	11/1/73	?	?
Log #8	4/16/76	?	?
Log #9	9/30/78	?	?
Log #10	3/15/81	Salt Lake City, UT 84150	0
Log #11	8/29/83	Southwest of Korea	0
Log #12	2/11/86	Near Sydney, Australia (149 E, 30 S)	1
Log #13	7/27/88	Sendai, Japan	1
Log #14	1/10/91	Burundi (30 E, 5 S)	0
Log #15	6/25/93	Albania	1
Log #16	12/9/95	Tibet	1
Visitation	5/24/98	?	n/a

Z =	(X₀, Y₀)R²
Z =	X₀² + Y₀²

Z =	(28.42, 50.75) * 100²
Z =	(28.42)² + (50.75)²

Z =	(84.00185,150.0033)

Number:	Log 10
Date:	3/15/81
Answer:	Salt Lake City, UT 84150