Upper A 4 -ft-tall fence runs parallel to the wall of a house at a distance of 8 ft. Find the length of the shortest ladder that extends from the ground to the house without touching the fence. Assume the vertical wall of the house is 20 ft high and the horizontal ground extends 25 ft from the fence.

Question

Mathematics

Kai Walls

10 May, 03:48

Upper A 4 -ft-tall fence runs parallel to the wall of a house at a distance of 8 ft. Find the length of the shortest ladder that extends from the ground to the house without touching the fence. Assume the vertical wall of the house is 20 ft high and the horizontal ground extends 25 ft from the fence.

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Answers (1)

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Amaris Daugherty · Answer 1

Length of ladder = approximately 39 ft

Step-by-step explanation:

The formation is a right angle to and we are looking for the hypotenuse.

But first

The height = was of the house = 20ft

Total length = the 25ft extension + the 8ft distance betwee the fence and the house

Total length = 25 + 8 = 33ft

Length of the ladder = hypotenuse

Let length of the ladder be x

X² = 33² + 20²

X² = 1089 + 400

X² = 1489

X = √1489

X = 38.59 ft

Length of ladder = approximately 39 ft