1.

a.) Given

• The distance of the foot of the ladder from the wall is 9 feet.
• The ladder is 1 foot longer than the height of the wall.

b.) Unknown (what is being asked)

• The length of the ladder

c.) Illustrate the problem.

• (See attached picture)

d.) Possible formula/s to solve the problem

• a² + b² = c²

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ADDITIONAL:

Solving for the length of the ladder.

Using Pythagorean Theorem:

• a² + b² = c²

• (x)² + (9)² = (x + 1)²
• x² + 81 = x² + 2x + 1
• 81 = 2x + 1
• 80 = 2x
• x = 40
• The height of the wall is 40 ft .

The length of the ladder: x + 1

• x + 1 = 40 + 1 = 41
• The length of the ladder is 41 ft.