Solution Found!
Shortest ladder—more realistic An 8-ft-tall fence runs
Chapter 7, Problem 17E(choose chapter or problem)
An 8-ft-tall fence runs parallel to the wall of a house at a distance of 5 ft. Find the length of the shortest ladder that extends from the ground, over the fence, to the house. Assume that the vertical wall of the house is 20 ft high and the horizontal ground extends 20 ft from the fence.
Questions & Answers
QUESTION:
An 8-ft-tall fence runs parallel to the wall of a house at a distance of 5 ft. Find the length of the shortest ladder that extends from the ground, over the fence, to the house. Assume that the vertical wall of the house is 20 ft high and the horizontal ground extends 20 ft from the fence.
ANSWER:Solution Step 1: The ladder position minimizes the ladder length.the objective function in this problem is the ladder length L.The position of the ladder is specified by x the distance between the foot of the ladder and fence.The goal is to express the function of x where x>0.