Road Scholar B

Test your knowledge of various Science Olympiad events.
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dxu46
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Re: Road Scholar B

Postby dxu46 » March 13th, 2018, 7:10 pm

1. How many sections are in one PLSS township?
2. The bearing S24W translates to what azimuth?
1. 2196
2. 204 degrees
Your second answer is correct but since when is there more than 36 sections in one township?
Oh sorry I accidentally multiplied 36 by 36 because I guess I mistakenly thought that I didn't count sections...:oops:
Billy lives in section 25.  In the SW1/4/NW1/4, there is a school.  Billy lives in the NE1/4/SE1/4.  The Post Office is in the SW1/4/SW1/4.  If Billy wants to go to school from home, then pick up mail from the post office, then head back home again, in exact measurements calculate the distance traveled by Billy that day.  (In other words find the perimeter of the triangle made by the School, the Post Office, and Billy's home)

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Re: Road Scholar B

Postby hippo9 » March 13th, 2018, 7:17 pm

1. 2196
2. 204 degrees
Your second answer is correct but since when is there more than 36 sections in one township?
Oh sorry I accidentally multiplied 36 by 36 because I guess I mistakenly thought that I didn't count sections...:oops:
Billy lives in section 25.  In the SW1/4/NW1/4, there is a school.  Billy lives in the NE1/4/SE1/4.  The Post Office is in the SW1/4/SW1/4.  If Billy wants to go to school from home, then pick up mail from the post office, then head back home again, in exact measurements calculate the distance traveled by Billy that day.  (In other words find the perimeter of the triangle made by the School, the Post Office, and Billy's home)
About 2.36 miles?
"If we knew what we were doing, it wouldn’t be called research." - Albert Einstein

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dxu46
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Re: Road Scholar B

Postby dxu46 » March 13th, 2018, 7:21 pm

Your second answer is correct but since when is there more than 36 sections in one township?
Oh sorry I accidentally multiplied 36 by 36 because I guess I mistakenly thought that I didn't count sections...:oops:
Billy lives in section 25.  In the SW1/4/NW1/4, there is a school.  Billy lives in the NE1/4/SE1/4.  The Post Office is in the SW1/4/SW1/4.  If Billy wants to go to school from home, then pick up mail from the post office, then head back home again, in exact measurements calculate the distance traveled by Billy that day.  (In other words find the perimeter of the triangle made by the School, the Post Office, and Billy's home)
About 2.36 miles?
That's incorrect. Also remember to use exact answers.
Each location is in the center of the 1/16th.

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Re: Road Scholar B

Postby hippo9 » March 13th, 2018, 7:36 pm

Oh sorry I accidentally multiplied 36 by 36 because I guess I mistakenly thought that I didn't count sections...:oops:
Billy lives in section 25.  In the SW1/4/NW1/4, there is a school.  Billy lives in the NE1/4/SE1/4.  The Post Office is in the SW1/4/SW1/4.  If Billy wants to go to school from home, then pick up mail from the post office, then head back home again, in exact measurements calculate the distance traveled by Billy that day.  (In other words find the perimeter of the triangle made by the School, the Post Office, and Billy's home)
About 2.36 miles?
That's incorrect. Also remember to use exact answers.
Each location is in the center of the 1/16th.
((.125)˄1/2+ (5/16)˄1/2+(13/16)˄1/2) miles or about 1.81 miles. The first time I went from school to home, to post office, then back home...
"If we knew what we were doing, it wouldn’t be called research." - Albert Einstein

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dxu46
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Re: Road Scholar B

Postby dxu46 » March 13th, 2018, 7:40 pm

About 2.36 miles?
That's incorrect. Also remember to use exact answers.
Each location is in the center of the 1/16th.
((.125)˄1/2+ (5/16)˄1/2+(13/16)˄1/2) miles or about 1.81 miles. The first time I went from school to home, to post office, then back home...
Sorry, incorrect. Do you want me to tell you the solution?

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Re: Road Scholar B

Postby hippo9 » March 13th, 2018, 7:41 pm

That's incorrect. Also remember to use exact answers.
Each location is in the center of the 1/16th.
((.125)˄1/2+ (5/16)˄1/2+(13/16)˄1/2) miles or about 1.81 miles. The first time I went from school to home, to post office, then back home...
Sorry, incorrect. Do you want me to tell you the solution?
Yeah I'm probably screwing up somewhere with the pythagorean theroem...
"If we knew what we were doing, it wouldn’t be called research." - Albert Einstein

2018: Battery Buggy, Road Scholar, Roller Coaster
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dxu46
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Re: Road Scholar B

Postby dxu46 » March 13th, 2018, 7:53 pm

Okay, so first we draw a diagram:
_ _ _ _ _ _ _ _ _ _ _ _ _
|       
|_ _ _|_ _ _|_ _ _ | _ _ _ |
|    S  
|_ _._|_ _ _|_ _ _ | _ _ _ |
|    [b].[/b]..........................H     
|_ _,_|_ _ _|_ _ _ | _ _ _ |
|    P 
|_ _ _|_ _ _|_ _ _ | _ _ _ |
(S=school, P=post, H-house)
Look where I put the bolded dot. This makes it so that from H to the dot, there is 3/4 of a mile, and from S to the dot, there is 1/4 of a mile, since a section is 1 square mile. Using the Pythagorean theorem we get (3/4)^2 + (1/4)^2 = x^2, and we get x to be /4. Multiply this by 2 to account for both legs of the isosceles triangle. Finally, add 1/2 to account for the base, and we get our answer of
[math](1+ \sqrt 10)/2[/math] or around 2.08 miles.
hippo9, your turn.

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Re: Road Scholar B

Postby hippo9 » March 13th, 2018, 7:59 pm

1. What does an x symbolize on a topographic map?
2. The longitude of the western neat line of Quadrangle A is 30 degrees west. What is the longitude of the western neat line of the quadrangle directly to the southwest of Quadrangle A?
"If we knew what we were doing, it wouldn’t be called research." - Albert Einstein

2018: Battery Buggy, Road Scholar, Roller Coaster
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dxu46
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Re: Road Scholar B

Postby dxu46 » March 13th, 2018, 8:02 pm

1. What does an x symbolize on a topographic map?
2. The longitude of the western neat line of Quadrangle A is 30 degrees west. What is the longitude of the western neat line of the quadrangle directly to the southwest of Quadrangle A?
1. Spot elevation
2.37.5 degrees West

hippo9
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Re: Road Scholar B

Postby hippo9 » March 13th, 2018, 8:03 pm

1. What does an x symbolize on a topographic map?
2. The longitude of the western neat line of Quadrangle A is 30 degrees west. What is the longitude of the western neat line of the quadrangle directly to the southwest of Quadrangle A?
1. Spot elevation
2.37.5 degrees West
The first is right, however the second one is wrong...
Last edited by hippo9 on March 13th, 2018, 8:19 pm, edited 1 time in total.
"If we knew what we were doing, it wouldn’t be called research." - Albert Einstein

2018: Battery Buggy, Road Scholar, Roller Coaster
2019: Chem Lab, Code, Disease, Fossils, Geo Maps, Sounds
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