00:01
Let's review law of sines before we get into these problems.
00:04
The law of sines is simply a ratio between sine of an angle and the length of the side opposite to it.
00:11
So i have color -coded this so it's easily visible that we're talking about a certain angle a and the side opposite to is also referred to as a.
00:19
In the first question quan and marie are standing on a straight coastline 10 miles apart and looking at a ship.
00:26
They are viewing angles of 35 degree and 45 degree.
00:30
We need to find the distance from quan to the ship.
00:34
I have labeled each side of the triangle with alphabets similar to the angle that they are opposite to.
00:41
We can find the angles of the triangle quite simply.
00:43
This would be 180 minus 35 which equals 145 degree and this would be three angles of the triangle 180 minus 45 and 45 which gives us 30 degrees.
00:55
I've set up the sine law for this triangle here.
00:59
We are interested in m which is the distance between ship and quan.
01:03
We know the value of m...