escaping prison-mini ia
Testo Storyboard
- Diapositiva: 1
- I hate this place.... there's nothing to do, no one to talk to. I think it's time for me to.... ESCAPE!! But how?
- There’s only one way out… I’ll have to use math — angles and triangles to escape this place once and for all!
- Diapositiva: 2
- 9ft
- This poster is huge : 9 ft wide and 12 ft tall. I wonder what’s behind it… It covers a diagonal of √(9² + 12²) = 15 ft. That’s wide enough to pass through if i cut diagonally
- 15ft
- 12ft
- Diapositiva: 3
- Let's try to cut through with my mustache scissors.....
- Diapositiva: 4
- "What on earth… there’s an actual tunnel behind the poster?! It drops 12 feet and goes 9 feet across I need to calculate the angle before I go in!"
- 9ft
- 12ft
- "I’m using tangent to find the angle of the tunnel. If I know the vertical drop is 12 ft and the horizontal run is 9 ft, I can calculate how steep it is using....
- tan(θ) = 12 / 9 θ = tan⁻¹(12 / 9) θ ≈ 53°Not too steep, we can go in !!
- Diapositiva: 5
- "Each turn in this vent looks like a right angle. The exit appears after 2 corners times 90° that’s 180°. If I turn the four angles , it will be 360° and I ’ll be right back where I started. I have to get this right"
- Diapositiva: 6
- This laser beam cuts across two parallel walls. If I pass through at a 70° angle on one side, the matching angle on the other wall will also be 70°. That’s the only safe way across : I have to follow the line closely at that angle. I can easily lean that much!!!
- 70°
- ?°
- ∠1 = ∠2 (Alternate Interior Angles) ∠1 = 70° → ∠? = 70°
- Diapositiva: 7
- This alley stretches 4.5 meters across and drops at a 45° angle. Since it's a 45-45-90 triangle, the height must also be 4.5 meters. That’s a safe drop!"
- 4.5 meters
- Diapositiva: 8
- Since the courtyard is a regular polygon with an exterior angle of 45° , I can calculate that it has a total of 8 sides and the guard turns at each. Therefore, i can time my move at turn number 3 when he isn't facing me.
- 45°
- Diapositiva: 9
- WOW!!!! FREEEDOM!! And it was all thanks to math...
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