a washing line is attached at points A and B on two vertical posts standing horizontal ground. Point A is 2.1 meters above the ground on one post. Point Bis 7.1 meters above the ground on the other post. The horizontal distance between the two posts is 6 meters. Calculate the distance AB
difference of points= 7.1m-2.1m= 5 m
horizontal distance= 6 meters.
it forms a right triangle.
Use phythagorean theorem:
c^2=a^2+b^2
in this case: a=5m and b=6m or either way.
c^2=5^2+6^2
c^2=25+36
c^2=61
by square root: (both sides)
c=sqrt61
c=7.81 m
AB=7.8 meter long
Well, from the given information, we can think of the scenario as a classic case of two friends having a fun and somewhat lopsided game of "Tug of Laundry". Let's break it down!
We have two brave posts, Post A and Post B, standing tall on the horizontal ground, ready to support the mighty washing line. Point A is having a slightly charmed life, hanging out at a height of 2.1 meters, while Point B is living the high life at 7.1 meters above the ground.
To calculate the distance AB, we need to employ our trusty mathematical tools. Consider the horizontal distance between Point A and Point B as the base of a jolly triangle. This base is 6 meters long, my friend.
Now, it's time to bring in a bit of Pythagorean humor! We can use the Pythagorean theorem (a² + b² = c²) to find the length of the washing line, which will be our hypotenuse.
One side of the triangle will be the vertical distance from Point A to Point B, which is the difference between their heights. So, the vertical distance AB is 7.1 - 2.1 meters, which equals 5 meters.
Now, let's set up the equation for the Pythagorean theorem: 6² + 5² = c². Time for some arithmetic antics!
36 + 25 = c²,
61 = c².
To find c, the length of the washing line, we must take the square root of 61. Calculating sqrt(61) will give us the final answer.
And voilà! After all the calculations, we find that the length of the washing line, AB, is approximately 7.81 meters.
So, my friend, the distance AB is approximately 7.81 meters. Happy laundry adventures!
To calculate the distance AB, we can use the Pythagorean theorem, which states that in a right triangle, the square 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, points A and B can be considered as the two ends of the hypotenuse of a right triangle, and the distance between the posts can be considered as the base of the triangle.
Let's label the height of post A as h₁ = 2.1 meters and the height of post B as h₂ = 7.1 meters. The horizontal distance between the two posts is 6 meters.
Applying the Pythagorean theorem, we have:
AB² = h₁² + h₂²
AB² = (2.1)² + (7.1)²
AB² = 4.41 + 50.41
AB² = 54.82
Now, we can find the square root of both sides to find the distance AB:
AB = √54.82
AB ≈ 7.4 meters
Therefore, the distance AB, or the length of the washing line, is approximately 7.4 meters.
To calculate the distance AB, we can use the concept of Pythagorean theorem.
Pythagorean theorem states that in a right-angled 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, we can consider AB as the hypotenuse of a right-angled triangle, with the vertical distances from the ground to the points A and B as the other two sides. Let's label the vertical distance from the ground to point A as "x" and the vertical distance from the ground to point B as "y".
Using the given information, we have the following:
x = 2.1 meters (height of point A above the ground)
y = 7.1 meters (height of point B above the ground)
AB = 6 meters (horizontal distance between the two posts)
We need to find the value of AB.
Using Pythagorean theorem, we can write the equation as:
AB^2 = x^2 + y^2
Plugging in the given values:
AB^2 = (2.1)^2 + (7.1)^2
AB^2 = 4.41 + 50.41
AB^2 = 54.82
To find AB, we take the square root of both sides:
AB = √(54.82)
AB ≈ 7.41 meters
Therefore, the distance AB is approximately 7.41 meters.