A rope goes from one building to another. The distance between the buildings is 10m, and the rope is tied at each building at a point 8m and 4m from the ground. Find the length of the rope.
Where does this 12 come from? sqrt(116) will be accepted in anything unless the question asks specifically for decimals or fractions
a b or c
To find the length of the rope, we can use the Pythagorean theorem, which 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, we have a right triangle formed by the distance between the buildings (10m), the height of the first building where the rope is tied (8m), and the height of the second building where the rope is tied (4m).
Let's label the length of the rope as 'r'. According to the Pythagorean theorem, we can write the following equation:
r^2 = (10m)^2 + (8m - 4m)^2
Simplifying the equation, we have:
r^2 = 100m^2 + 4m^2
Combining like terms:
r^2 = 104m^2
Taking the square root of both sides:
r = √(104m^2)
Using a calculator to find the square root of 104:
r ≈ √104 ≈ 10.198 m
Therefore, the length of the rope is approximately 10.198 meters.
thank you Reiny
I agree with Reiny but i think why maria had a problem is because the question has very bad wording of what the buildings look like
Did you make a sketch??
The difference in their connection points is 4 m.
and you have a triangle with base 10, height 4 and missing hypotenuse
x^2 = 4^2 + 10^2
carry on