00:01
Alright, in your question, you are told about a ship and a harbor.
00:05
So i'm going to start with the harbor.
00:08
I'm just going to label that as a point here.
00:10
We'll name it harbor.
00:12
And we're told that the ship is 50 miles to the west, which we would use the left direction for west, and that's 50 miles.
00:22
And we also know that it's 31 miles south.
00:27
And you're asked to find the bearing from the ship, which would be here.
00:32
To the harbor.
00:35
Okay, so bearings can be measured in two ways, and i'm going to give you both of them.
00:40
The first method is to just measure off of north, which would be this line, and we just measure in our clockwise rotation.
00:53
Now, to find this angle, we're going to have to use the trig function.
00:57
This would represent a right triangle.
00:59
We're going to have to use the trig function tangent.
01:01
So tangent of theta would equal the opposite side from that angle, which is the 50, over the adjacent side, which is the 31.
01:14
To solve for theta, tangent comes to the other side of the equation and becomes its inverse function.
01:21
So what we would type in our calculator would be inverse tangent of 50 over 31...