Cosine Rule and the Story of the Evil Wizard

The video tells the story of a king who needs to send aid to a village threatened by a disease. To avoid a dangerous forest, the king considers a sea route. The video explains how to use the cosine rule to calculate the distance of the sea route, ensuring timely delivery of aid. The tutorial concludes with a call to action for viewers to engage with the content.

What was the initial problem faced by the villagers?

• A flood

• A drought

• A war

• A disease outbreak

What did the king decide to send to the village?

• Gold

• Weapons

• Food and medicine

• Soldiers

Why did the king prefer the sea route over the land route?

• The sea route was shorter

• The land route was blocked

• The land route was dangerous due to evil wizards

• The sea route was more scenic

What shape did the castle, forest, and village form?

• A square

• A circle

• A triangle

• A rectangle

What is the angle between the sides of the triangle formed by the castle, forest, and village?

• 45°

• 30°

• 60°

• 90°

Which mathematical rule is used to calculate the sea route distance?

• Tangent rule

• Cosine rule

• Sine rule

• Pythagorean theorem

What is the formula for the cosine rule?

• c = a + b - 2ab cos(θ)

• c² = a² + b² - 2ab cos(θ)

• a² + b² = c²

• a² = b² + c² - 2bc cos(θ)

What is the value of cos(30°)?

• 1/√2

• √3/2

• 1/2

• 1

What is the calculated sea route distance?

• 100 KM

• 200 KM

• 124 KM

• 150 KM

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