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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.
 11 months ago
 11 months 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.
 11 months ago
 11 months ago

This Question is Closed

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
 11 months ago

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
 11 months ago

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

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

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

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

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
yes
 11 months 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
 11 months ago

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

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

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

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

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
48.68
 11 months ago

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

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

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

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

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

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

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
dw:1376507462089:dw
 11 months 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)
 11 months ago

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

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

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

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

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

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

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

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
hyp = x adj = 1 AU
 11 months 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
 11 months 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 :)
 11 months ago

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
perfect !
 11 months 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 ?
 11 months ago

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

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

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

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
i see that
 11 months 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)
 11 months ago

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

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

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

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

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

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

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

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

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
78.9
 11 months ago

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

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

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

highschoolmom2010 Group TitleBest ResponseYou've already chosen the best response.1
oh ok
 11 months 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 \(100.821.9 \)
 11 months 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..
 11 months ago

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

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

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

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.1
hmm _
 11 months ago

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