## 02ps-05 The Bay Of Syracuse Solution

• 0:00 - 0:02
Well, let's see. I have a right triangle here.
• 0:02 - 0:06
I need to know now how can I figure out what this width is?
• 0:06 - 0:09
Well, the side I know is the opposite side.
• 0:09 - 0:13
The side I want to know is this one here--the width.
• 0:13 - 0:16
Now, that's the adjacent side to this angle. It's not the hypotenuse.
• 0:16 - 0:20
Okay, so which trig function relates opposite and adjacent?
• 0:20 - 0:22
Well, that's the tangent.
• 0:22 - 0:26
So, I'm going to be using the tangent of this angle.
• 0:26 - 0:31
I'm going to calculate that, because I know that it has to equal the opposite side
• 0:31 - 0:33
over the adjacent side, which is the width.
• 0:33 - 0:35
• 0:35 - 0:38
Now I have to solve this for width, which means I have to bring this over here
• 0:38 - 0:49
and put this guy down there, which gives me width equals 25 m/tan(1.3°).
• 0:49 - 0:52
When I plug that in, I like to use Google's calculator,
• 0:52 - 0:54
I get a length of 1100 meters.
• 0:54 - 0:56
Now, this is really an incredible tool.
• 0:56 - 0:59
We use basic trigonometry to make a real calculation.
• 0:59 -
This is truly how you could have calculated the width of the mouth of the bay of Syracuse. Good work.
Title:
02ps-05 The Bay Of Syracuse Solution
Video Language:
English
Team:
Udacity
Project:
PH100 - Intro to Physics
Duration:
01:06