A 14 foot ladder rests against the side of the house, and the base of the ladder is 4 feet away.
Approximately how high above the ground is the top of the ladder?
h^2 + 4^2 = 14^
h^2 = 196 - 16 = 180
h = √180 = appr 13.4 ft
Okie, thx mAtHeLpEr
To find out the approximate height of the ladder, we can use the Pythagorean theorem. The 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, the ground, and the side of the house form a right triangle. The base of the ladder (4 feet) is one of the sides, and the height of the ladder is the other side we want to find.
Using the Pythagorean theorem, we can solve for the height of the ladder:
(Height)^2 + (Base)^2 = (Ladder)^2
Substituting the given values:
(Height)^2 + (4 feet)^2 = (14 feet)^2
Simplifying the equation:
(Height)^2 + 16 feet^2 = 196 feet^2
Subtracting 16 feet^2 from both sides:
(Height)^2 = 180 feet^2
Taking the square root of both sides:
Height ≈ √(180 feet^2)
Calculating the square root of 180:
Height ≈ 13.42 feet
Therefore, the approximate height of the top of the ladder above the ground is 13.42 feet.