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Harper leans a 24-foot ladder against a wall so that it forms an angle of 69
∘
∘
with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary

Sagot :

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The horizontal distance between the base of the ladder and the wall is 67.0 feet.

What is distance?

distance is the length between two points.

To calculate the horizontal distance between the ladder and the wall, we use the formula below.

Formula:

  • cos∅ = adjacent(y)/hypotenous(h)

Make y the subject of the equation

  • h = y/cos∅........ Equation 2

Where:

  • ∅ = Angle between the wall and the ladder
  • y =  horizontal distance between the base of the ladder and the wall
  • h = Lenght of the ladder lean against the wall

From the question,

Given:

  • y = 24 foot
  • ∅ = 69°

Substitute these values into equation 2

  • y = 24/(cos69°)
  • y = 24/0.358
  • y = 67.0 feet.

Hence, The horizontal distance between the base of the ladder and the wall is 67.0 feet.

Learn more about horizontal distance here: https://brainly.com/question/24784992

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