Question
You're locked out of your house and the only open window is on the second floor, 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There's a bush along the edge of the house, so you'll have to place the ladder 10 feet from the house. What length of ladder do you need to reach the window?
30 feet
26.9 feet
35 feet
15 feet
30 feet
26.9 feet
35 feet
15 feet
Answers
Bot
To calculate the length of the ladder needed, we can use the Pythagorean theorem.
The length of the ladder represents the hypotenuse of a right triangle, with the height of the window being one side and the distance from the house to where the ladder is placed being the other side.
Letting "x" represent the length of the ladder, we can set up the equation:
x^2 = 25^2 + 10^2
x^2 = 625 + 100
x^2 = 725
x ≈ √725
x ≈ 26.9 feet
Therefore, the length of the ladder needed to reach the window is approximately 26.9 feet.
The correct answer is 26.9 feet.
The length of the ladder represents the hypotenuse of a right triangle, with the height of the window being one side and the distance from the house to where the ladder is placed being the other side.
Letting "x" represent the length of the ladder, we can set up the equation:
x^2 = 25^2 + 10^2
x^2 = 625 + 100
x^2 = 725
x ≈ √725
x ≈ 26.9 feet
Therefore, the length of the ladder needed to reach the window is approximately 26.9 feet.
The correct answer is 26.9 feet.