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.

<p>9.798</p> Signup and view all the answers

Match the sides of the triangle with their respective lengths:

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

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

<p>5.196 ft (A)</p> Signup and view all the answers

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

<p>False (B)</p> Signup and view all the answers

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

<p>$a^2 + b^2 = c^2$</p> 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.

<p>9</p> Signup and view all the answers

Match the ramp problems with their corresponding base lengths:

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

What is the height of the flagpole?

<p>20 feet (D)</p> 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.

<p>False (B)</p> Signup and view all the answers

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

<p>15 feet</p> Signup and view all the answers

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

<p>12</p> Signup and view all the answers

Match the following components to their descriptions:

<p>Tree Lean = Against the flagpole Shadow Length = 12 feet Distance from the base of pole to tree = 15 feet Flagpole Height = 20 feet</p> 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.

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