Question

17. Bill is creating a 45° offset around a tank. The value of A is 24 inches. 24 in. 450 The center of the 45° fitting is ___________ inches from the center line of the tank.​

Answer 1

The center of the 45° fitting is approximately 33.94 inches from the center line of the tank.

Step-by-step explanation:

To find the distance of the center of the 45° fitting from the center line of the tank, we can use trigonometry. Since the fitting creates a 45° offset, we can form a right triangle where the hypotenuse represents the distance from the fitting to the center line of the tank. The side adjacent to the 45° angle is equal to the value of A, which is 24 inches. Using the cosine function, we can calculate the length of the hypotenuse:

cos(45°) = adjacent/hypotenuse

cos(45°) = 24/hypotenuse

hypotenuse = 24/cos(45°)

Using a calculator, we find that cos(45°) is approximately 0.7071. Therefore, the hypotenuse (distance from the fitting to the center line of the tank) is:

hypotenuse = 24/0.7071 ≈ 33.94 inches

So, the center of the 45° fitting is approximately 33.94 inches from the center line of the tank.