Question

A building is 1 foot from a 7 foot fence that surrounds the property a worker wants to wash a window in the building 10 foot from the ground he plans to place a ladder over the fence so it rest against a building he decides he should place a ladder 7 feet from the fence for stability to the nearest 10th of a foot how long with the latter need to be

Answer 1

To find the length of the ladder, you can use the Pythagorean theorem. The ladder, the fence, and the ground form a right triangle.

Step-by-step explanation:

To find the length of the ladder, we can use the Pythagorean theorem. The ladder, the fence, and the ground form a right triangle. The ladder is the hypotenuse of the triangle. The distance from the building to the ladder and the distance from the fence to the ladder are the legs of the triangle.

The distance from the building to the ladder is 1 foot, and the distance from the fence to the ladder is 7 feet. Applying the Pythagorean theorem, we have:

a² + b² = c²

Where a and b are the legs of the triangle, and c is the hypotenuse (ladder length).

Substituting the given values, we have:

1² + 7² = c²

1 + 49 = c²

50 = c²

Taking the square root of both sides:

c ≈ √50

c ≈ 7.07

Therefore, the ladder needs to be approximately 7.07 feet long to reach the window.