a ladder rests against the top of a wall. The head of a person 3.5 feet tall just touches the ladder. The person is 3 feet from the wall and 7 feet from the foot of the ladder. What is the height of the wall?
To find the height of the wall, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the ladder acts as the hypotenuse, and the person's height is one of the sides. Let's call the height of the wall "h". The person's height is 3.5 feet, so we have:
(ladder)^2 = (person's height)^2 + (height of the wall)^2
Now, the person is 3 feet from the wall, and 7 feet from the foot of the ladder, forming a right-angled triangle. Using the Pythagorean theorem, we have:
(7)^2 = (3)^2 + (h)^2
Simplifying the equation:
49 = 9 + (h)^2
Subtracting 9 from both sides:
40 = (h)^2
To find the value of "h," we take the square root of both sides:
√40 = √(h)^2
√40 ≈ 6.32 ≈ h
Therefore, the height of the wall is approximately 6.32 feet.
1) The vocabulary is confusing
2) You are stupid
3) 3 + 3.5 + 7
= 13.5