Camila needs to fix the window on the front of her house. The bottom of the window is 16 ft. from the ground. She only has a 20 ft. ladder. How far from the base of the house should she set up the ladder so that the top of the ladder is exactly at the bottom of the window?(
To solve this problem, we can use the Pythagorean theorem.
Let's assume that the distance between the base of the ladder and the base of the house is x ft.
According to the Pythagorean theorem, we have:
x^2 + 16^2 = 20^2
Simplifying the equation, we get:
x^2 + 256 = 400
Subtracting 256 from both sides, we get:
x^2 = 144
Taking the square root of both sides, we get:
x = 12 ft
Therefore, Camila should set up the ladder 12 ft away from the base of the house to reach the bottom of the window.
To determine the distance from the base of the house where Camila should set up the ladder, we need to use the Pythagorean Theorem.
Let's say "x" represents the distance from the base of the house where Camila should place the ladder.
According to the Pythagorean Theorem:
x^2 + 16^2 = 20^2
Simplifying the equation:
x^2 + 256 = 400
Subtracting 256 from both sides of the equation:
x^2 = 400 - 256
x^2 = 144
Taking the square root of both sides of the equation:
x = √144
x = 12
Therefore, Camila should set up the ladder 12 ft. from the base of the house so that the top of the ladder is exactly at the bottom of the window.
To find out how far Camila should set up the ladder from the base of the house, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (in this case, the ladder) is equal to the sum of the squares of the other two sides.
In this scenario, the ladder is the hypotenuse, and the distance from the base of the house to the bottom of the window is one of the other two sides. Let's call this distance "x". We know that the length of the ladder is 20 ft., and the bottom of the window is 16 ft. from the ground.
Using the Pythagorean theorem, we can set up the following equation:
x^2 + 16^2 = 20^2
Simplifying this equation, we have:
x^2 + 256 = 400
Subtracting 256 from both sides, we get:
x^2 = 144
Taking the square root of both sides, we find:
x = 12
Therefore, Camila should set up the ladder 12 ft. from the base of the house so that the top of the ladder is exactly at the bottom of the window.