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highschoolmom2010
Group Title
The Polish astronomer Nicolaus Copernicus devised a method for determining the sizes of the orbits of planets farther from the sun than Earth. His method involved noting the number
of days between the times that a planet was in the positions labeled A and B in the diagram. Using this time and the number of days in
each planet’s year, he calculated c and d.
 one year ago
 one year ago
highschoolmom2010 Group Title
The Polish astronomer Nicolaus Copernicus devised a method for determining the sizes of the orbits of planets farther from the sun than Earth. His method involved noting the number of days between the times that a planet was in the positions labeled A and B in the diagram. Using this time and the number of days in each planet’s year, he calculated c and d.
 one year ago
 one year ago

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highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
@ganeshie8
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
@thomaster
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
do u see a right triangle in that cosmic jungle ?
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
dw:1376506909669:dw
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
yes
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
lets solve question A first : say, x is the distance between Sun and Mars
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
dw:1376507051350:dw
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
dw:1376507103333:dw
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
can u find that angle ? (look at the cosmic jungle pic again)
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
that angle equals dc = 103.855.2 = ?
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
once u have that angle, u can find the x easily using an appropriate trig ratio
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
48.68
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
103.8  55.2 48.6
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
its just 48.6
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
how did u get 48.68 ?
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
103.88accidentally pushed the dw:1376507391898:dw
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
lol okie :)
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
so now we know that <d =48.6 what do we do
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
dw:1376507462089:dw
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
u tell me, which ratio we can use here to find distance between Suna and Mars(x)
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
dw:1376507504635:dw
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
forget about million years. lets do the calculations in AUs which are simple
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
we know hyp and adj SOH CAH TOA we use cos
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
how do i do that
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
yes cos ! and pls use AUs...
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
how do i do that
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
and the question is also asking u for AUs oly
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
dw:1376507639742:dw
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
hyp = x adj = 1 AU
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
oh ok so i just put 1 AU not 93 million okie :D
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
AU is just an unit, like meter or second. so dont bother about it much :)
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
cos 48.6 = 1/x solve x
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
do this, and do the Jupiter problem also same way. i need to go have dinner. brb.
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
\[\cos 48.6=\frac{ 1 }{ x }\] \[x *\cos 48.6=\frac{ 1 }{ ?x }*x\] \[x \cos 48.6=1\]
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
\[\frac{x \cos 46.8 }{ \cos 46.8 }=\frac{ 1 }{ \cos 46.8 }\] \[x=\frac{ 1 }{ \cos 46.8 }\]
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
do i do the inverse now
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
just plugin that \(\large x = \frac{1}{\cos 48.6}\)
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
you should get x = 1.5 AU approx.. try the Jupiter problem...
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
dw:1376587258601:dw
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
dw:1376587399528:dw
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
\[\cos 100.8=\frac{ 1 }{ x }\] \[(x)* \cos 100.8=\frac{ 1 }{ x }*x\] \[ X \cos 100.8=1\] \[\frac{ x \cos 100.8 }{ \cos 100.8 }=\frac{ 1 }{ \cos 100.8 }\]
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
angle is not 100.8
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
dw:1376587971593:dw
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
for jupitor c = 21.9, d = 100.8 angle = dc = ?
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
oh... 78.9
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
yes do it again :)
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
\[\cos 78.9=\frac{ 1 }{ x }\] \[(x)* \cos 78.9=\frac{ 1 }{ x }*(x)\] \[x \cos 78.9=1\] \[\frac{ x \cos 78.9 }{\cos 78.9 }=\frac{ 1 }{ \cos 78.9 }\] \[x \approx 5.19\]
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
@ganeshie8
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
perfect !
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
now tell me this, did u get why we have been doing dc for angle ?
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
no not really
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
look at the origianal cosmic pic, you wil understand
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
observe that, \(d\) is the angle moved by earth
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
and \(c\) is the anle movied by the other planet in same time
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
i see that
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
\(dc\) gives u the angle in that right triangle (visually u need to **see** it)
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
dw:1376589514631:dw
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
dw:1376589569683:dw
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
that entire angle is \(d\)
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
dw:1376589610421:dw right ?
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
that part is \(c\)
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
yes, right !
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
So, whats the angle in that triangle ?
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
dw:1376589698138:dw
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
78.9
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
uhh i mean in terms of \(d\) and \(c\)
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
im not sure what u mean
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
dw:1376589806634:dw
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
oh ok
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
angle in the triangle equals \(d  c\) you worked the problem correctly ! just wanted u to see why we did \(100.821.9 \)
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
hope it makes sense, the problem is easy actually  except for the fancy copernicus and planets words..
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
yea the AU threw me off
 one year ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
haha i thought so :)
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
i think that was just uncalled for work
 one year ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
ty @ganeshie8
 one year ago
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