Ramp and Right Triangle Calculations

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Questions and Answers

What is the height of the platform from which the wheelchair ramp descends?

4 feet
3 feet
2 feet (correct)
1 foot

The hypotenuse of the triangle formed by the ramp is shorter than the vertical leg.

False (B)

What formula is used to calculate the lengths of the sides of a right triangle?

Pythagorean theorem

The horizontal distance from the end of the ramp to the bottom of the platform is approximately _____ feet.

9.798 Signup and view all the answers

Match the sides of the triangle with their respective lengths:

Ramp (hypotenuse) = 10 feet Platform height (vertical leg) = 2 feet Horizontal leg = Approximately 9.798 feet Signup and view all the answers

What is the base length of Luke's bike ramp?

5.196 ft (A) Signup and view all the answers

The distance between cities A and B is greater than the distance between cities B and C.

False (B) Signup and view all the answers

What formula is used to find the base length in a right triangle?

$a^2 + b^2 = c^2$ Signup and view all the answers

Brandon's ramp has a height of 3 ft and a length of __ ft, resulting in a base length of approximately 8.485 ft.

9 Signup and view all the answers

Match the ramp problems with their corresponding base lengths:

Luke's Ramp = 5.196 ft Brandon's Ramp = 8.485 ft Cities A and B = 14 miles Signup and view all the answers

What is the height of the flagpole?

20 feet (D) Signup and view all the answers

The shadow of the tree is longer than the distance from the base of the pole to the tree.

False (B) Signup and view all the answers

What is the distance from the bottom of the pole to the base of the tree?

15 feet Signup and view all the answers

The length of the shadow of the tree is _____ feet.

12 Signup and view all the answers

Match the following components to their descriptions:

Tree Lean = Against the flagpole Shadow Length = 12 feet Distance from the base of pole to tree = 15 feet Flagpole Height = 20 feet Signup and view all the answers

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Study Notes

Ramp Calculations

Ramp 1
- Length is 6 ft.
- Height is 3 ft.
- Base length is 5.196 ft (approx).
Ramp 2
- Length is 9 ft.
- Height is 3 ft.
- Base length is 8.485 ft (approx).
Wheelchair Ramp
- Length is 10 ft.
- Height is 2 ft.
- Base length is 9.798 ft (approx).

Right Triangles Calculations

Three Cities
- Distance between Cities A and B is 14 miles.
- Distance between Cities B and C is 26.08 miles (approx).
Leaning Tree
- Tree is leaning against a 20 ft flagpole.
- Tree's shadow is 12 ft long.
- Distance between the base of the flagpole and the base of the tree is 15 ft.
- Use the Pythagorean Theorem to find the height of the tree or the distance between the top of the flagpole and the top of the tree.