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highschoolmom2010
 3 years 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.
highschoolmom2010
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.1do u see a right triangle in that cosmic jungle ?

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

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

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

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

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

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

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

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

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

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

ganeshie8
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1376507504635:dw

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

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

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

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

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

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

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

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

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

ganeshie8
 3 years 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
 3 years 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
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.1do i do the inverse now

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

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

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

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

highschoolmom2010
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1376587971593:dw

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

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

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

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

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

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

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

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

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

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

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

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

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

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

ganeshie8
 3 years 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
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.1yea the AU threw me off

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

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