Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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 :

asuwafohjames

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

#SPJ1

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.