the nufone communications company must run a telephone line between two poles at opposite ends of a lake. the length and width are 75 feet and 30 feet. what is the distance between the two poles to the nearest foot?
The lake is rectangular?
Where on the opposite ends are the poles?
If they are on opposing corners, then you have a simple Pythagoras application..
give more information.
hi
, the poles are located on the opposite ends of the lake, and the lake is rectangular.
In that case, the distance between the two poles is approximately 87 feet to the nearest foot.
Hello! Yes, I apologize for not providing enough information earlier. Let's assume that the poles are placed at opposite corners of the rectangular lake. This means that the distance between the two poles is equal to the length of the diagonal of the rectangle.
To find the length of the diagonal, 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, the length of the lake is the base of the triangle, and the width is the height of the triangle. So, using the Pythagorean theorem:
Diagonal^2 = Length^2 + Width^2
Plugging in the given values:
Diagonal^2 = 75^2 + 30^2
Diagonal^2 = 5625 + 900
Diagonal^2 = 6525
Taking the square root of both sides to solve for the diagonal:
Diagonal ≈ √6525
Diagonal ≈ 80.81 feet
Therefore, the distance between the two poles is approximately 80.81 feet, rounded to the nearest foot.
Hi! Yes, I apologize for not providing sufficient information in my initial response. If the poles are located on opposite corners of the rectangular lake, we can use the Pythagorean theorem to find the distance between them.
The 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, the lake forms a right-angled triangle, with the width and length of the lake being the two sides and the distance between the poles being the hypotenuse.
Given that the width of the lake is 30 feet and the length is 75 feet, we can use these values as the lengths of the two sides of the triangle and find the length of the hypotenuse, which is the distance we want to find.
Using the Pythagorean theorem, we have:
Hypotenuse^2 = Width^2 + Length^2
Substituting the given values:
Hypotenuse^2 = 30^2 + 75^2
Hypotenuse^2 = 900 + 5,625
Hypotenuse^2 = 6,525
Taking the square root of both sides:
Hypotenuse = √6,525 ≈ 80.74 feet
To find the distance between the two poles to the nearest foot, we round the calculated distance to the nearest whole number, which in this case is 81 feet.
Therefore, the distance between the two poles at opposite ends of the lake is approximately 81 feet.