math 3
Updated: 9/17/2020
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#### Storyboard Text

• PLOTTING
• After a long night of recovering unstoppable ninja wakes up to being fully healed from killer mantis who saved him just in time. He decides to get revenge on Captin Mistresso after last night and plots his next attack on the city...
• AREA OF A TRIANGLE
• Unstoppable ninja has planned to trap 1 person per 2² units of space, inside the Devils pentagon (5 triangular rooms). He needs to find out how many people he can trap.
• B
• a= 12m
• C
• c= 20m
• angle C=45.6 degrees
• A
• b= 12m
• we know that: a=1/2absinCa=1/2x12x12xsin(45.6)A=51.4m²each person takes 2m²no of people per triangle= 51.4/2= 26 peoplethere are 5 triangles, 26x5= 130 people he can trap.
• OH NO ITS CAPTIN MISTRESSO..
• He captured all his victims and divided them into the pentagons. He hears captain Mistresso calling out to him, she came to try to save all the hostages, so he goes outside.
• let them go
• NO WAY
• MATH DEATH..
• They play math death, it's an intense game when you get a math question wrong you get killed or retreat, you must use trigonometry, for non-right angled triangles. Unstoppable Ninja goes first and asks him a COS Question.
• HEY!, it's on.. You are given an isosceles triangle, with side length of 15m and base of 8m, find the missing C angle.
• COSINE RULE
• Cosine rule: c²=a²+b²-2ab x cosCcosine to find angle: cosC=a²+b²-c²/2abCosC= 15²+15²-8²/2 x 15 x 15cosC=386/450C=cos^-1(0.9)C=25.8 degrees
• C
• SINE RULE
• Ninja: solves it wrong and has to retreat...
• sine rule: sinA/a=sinB/bsinA/50= sin(20)/60sinA= 50xsin(20)/60A= sin^-1(50xsin(20)/60A= 16.6 degrees
• Angle of depression 20 degrees
• B
• a= 15m
• c= 10m
• b= 15m
• A
• He got it right.. now its Mistressos turn..
• 50m
• alternate angles= 20 degrees
• 60m
• angle to find