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 one year ago
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
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.

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

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

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

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

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

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

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

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

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

highschoolmom2010
 one year ago
Best ResponseYou've already chosen the best response.1103.88accidentally pushed the dw:1376507391898:dw

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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