Understanding the Ladder Problem Using the Pythagorean Theorem

The video tutorial explains how to determine the height a 60-foot ladder reaches when placed against a building with its base 8 feet away. The problem is visualized, and the Pythagorean theorem is applied to solve for the height. The calculation involves squaring the sides, subtracting, and taking the square root to find the height, which is then rounded to the nearest tenth.

What is the length of the ladder used in the problem?

• 50 feet

• 80 feet

• 60 feet

• 70 feet

How far is the base of the ladder from the building?

• 7 feet

• 9 feet

• 8 feet

• 6 feet

What shape is formed by the ladder, building, and ground?

• Right triangle

• Rectangle

• Circle

• Square

Which theorem is used to solve the problem?

• Theorem of Relativity

• Fundamental Theorem of Calculus

• Binomial Theorem

• Pythagorean Theorem

In the Pythagorean Theorem, what is the hypotenuse in this problem?

• The ladder

• The ground

• The height

• The building

What is the equation used to find the height in this problem?

• h^2 = 8^2 + 60^2

• h^2 = 8^2 - 60^2

• h^2 = 60^2 - 8^2

• h^2 = 60^2 + 8^2

What is the value of 8 squared?

• 56

• 80

• 64

• 72

What is the value of 60 squared?

• 3000

• 3600

• 4000

• 3500

What is the approximate height the ladder reaches after rounding?

• 58.5 feet

• 60.0 feet

• 59.5 feet

• 59.0 feet

Why is the final answer rounded up?

• Because 59.46 is closer to 59.5

• Because 59.46 is closer to 60

• Because 59.46 is closer to 58.5

• Because 59.46 is closer to 59