Find the distance from the base of the ladder (50ft) to the house (48ft)
I suspect you want to use the Pythagorean Theorem for this, but you don't give much to go on, do you?
To find the distance from the base of the ladder to the house, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the ladder forms the hypotenuse of a right triangle, and the base of the ladder and the distance from the base to the house form the other two sides.
Let's denote the distance from the base of the ladder to the house as 'x', and the length of the ladder as 50ft. According to the Pythagorean theorem:
x^2 + 48^2 = 50^2
Now, we can solve this equation to find the value of 'x'.
x^2 + 2304 = 2500
Subtracting 2304 from both sides:
x^2 = 2500 - 2304
x^2 = 196
Taking the square root of both sides, we get:
x = √196
x = 14 ft
Therefore, the distance from the base of the ladder to the house is 14 feet.