Understanding the Flooded Pyramid

The video tutorial explains how the Nile River flood affected the Great Pyramid in Giza, Egypt. It details the measurements taken to determine the water level above the ground, using known dimensions of the pyramid. The tutorial covers the use of angles and trigonometry, specifically cosine, to calculate the height of the water. The final calculation shows the water level is 83.4 meters above the ground.

What was the initial observation made by the expedition about the Great Pyramid?

• The pyramid was completely submerged.

• Only the tip of the pyramid was visible.

• The pyramid was not affected by the flood.

• The pyramid was partially visible from the base.

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CCSS.7.G.B.6

What is the full length of the pyramid's edge when not flooded?

• 108 meters

• 180 meters

• 139 meters

• 72 meters

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CCSS.1.G.A.1

CCSS.2.G.A.1

What is the vertical height of the Great Pyramid?

• 72 meters

• 139 meters

• 180 meters

• 108 meters

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CCSS.7.G.B.5

In a right triangle, what is the complement of angle theta?

• Theta

• 90 degrees

• 90 degrees minus theta

• 180 degrees minus theta

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CCSS.8.G.A.5

What is the relationship between the angles in a right triangle?

• They sum up to 90 degrees.

• They sum up to 180 degrees.

• They are all equal.

• They sum up to 360 degrees.

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CCSS.HSG.SRT.C.8

Which trigonometric ratio is used to find the height of the water?

• Sine

• Cotangent

• Cosine

• Tangent

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CCSS.8.G.B.8

What is the length of the hypotenuse in the submerged triangle?

• 72 meters

• 139 meters

• 108 meters

• 180 meters

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CCSS.HSG.SRT.C.6

How is the cosine of theta calculated in the context of the entire triangle?

• Hypotenuse over adjacent

• Adjacent over opposite

• Adjacent over hypotenuse

• Opposite over hypotenuse

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CCSS.5.MD.A.1

What is the final calculated height of the water above the ground?

• 72 meters

• 108 meters

• 83.4 meters

• 139 meters

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CCSS.8.EE.C.7B

What mathematical tool is used to solve for the height of the water?

• Calculus

• Trigonometry

• Geometry

• Algebra

Tags

CCSS.8.EE.C.7B