00:01
Alright, welcome back.
00:02
So for this problem, we got the sun right here.
00:06
I wish i had a yellow marker to use.
00:09
That would make the sun really pop there, right? we got the earth.
00:16
We've got mercury.
00:18
Mercury can be at two different points.
00:26
So this length or angle right here is alpha.
00:29
It's equal to 15 degrees.
00:32
The distance from the sun to mercury is 57 ,910 ,000 kilometers.
00:45
The distance from earth to the sun is 149 ,600 ,000 kilometers.
00:56
What is the distance from earth to the two possible positions of mercury? well, let's start get solving using the law.
01:07
Of signs.
01:09
So we know that to find this angle right here, this one right here, i'll call this i guess m1 and m2.
01:24
I want to make this easier.
01:26
I'm not sure which one we're solving for at the moment, so we're going to say sign of m divided by 149, 6 ,0 ,000, 0 ,000 is equal to 57 ,000.
01:51
91000 divided by, oh i did that backwards, equal to sign of 15 degrees divided by 57, 57 million, 110 ,000 kilometers.
02:14
All right, and this all for angle m then.
02:19
M is equal to inverse sign of 14960000 0000 sign 15 5557 910 000 kilometers.
02:41
All righty.
02:44
That is some huge numbers to be crunching there.
03:06
All right, so one of the possible angles for m then is 41 .96 degrees...