a company want to lay cable across a lake. to find the lengh of the lake, they madethe measurements 180ft and 150ft. what is the length of the lake?
These are measurements of what? Depth? Width?
To find the length of the lake, we can use the Pythagorean theorem. The theorem states that in a right-angled 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.
Let's consider the measurements given: 180ft and 150ft.
Using the Pythagorean theorem, we can calculate the length of the lake as follows:
Length of the lake = √(180^2 + 150^2)
Calculating this equation:
Length of the lake = √(32400 + 22500)
Length of the lake = √54900
Length of the lake ≈ 234.42 feet (rounded to two decimal places)
Therefore, the length of the lake is approximately 234.42 feet.
To find the length of the lake, 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 scenario, we can consider one side of the lake as the base of the triangle, the other side as the height, and the length of the lake as the hypotenuse.
Let's assign the 180 ft measurement as one side (base) and the 150 ft measurement as the other side (height).
Using the Pythagorean theorem, we can calculate the length of the lake (hypotenuse) as follows:
Length of lake (hypotenuse) = √(180^2 + 150^2)
Calculating this equation:
Length of lake ≈ √(32400 + 22500)
Length of lake ≈ √(54900)
Length of lake ≈ 234.52 ft
Therefore, the length of the lake is approximately 234.52 ft.