A fan has five equally spaced blades. Suppose you line up two fans directly on top of each other. What is the least number of degrees that you can rotate the top fan so that the two fans are perfectly aligned again?
72
Still waitinggggg may 26 2021 hmmmm
72, or a fivth of 360
360° is a full rotation.
There are 5 equal spacings, so 1/5 of 360°
Essentially:
1/5 * 360, or 360/5.
ty
@Ray, where's the answers??
Also the answer to this question is 72 degrees.
To find the least number of degrees that you can rotate the top fan so that the two fans are perfectly aligned again, we need to determine the angle between consecutive blades of a fan.
A fan has five equally spaced blades. To calculate the angle between consecutive blades, we divide a full 360° rotation by the number of blades. In this case, each blade occupies an angle of 360°/5 = 72°.
When we line up two fans directly on top of each other, the blades of the top fan will be offset from the blades of the bottom fan. To bring them back into alignment, we need to calculate the difference between the angles of the corresponding blades.
Since the bottom fan's blades are fixed in place, we can consider the rotation of the top fan. To align the first blade of the top fan with the first blade of the bottom fan, we need to rotate it by an angle that is a multiple of 72°.
The least number of degrees that we need to rotate the top fan can be calculated by finding the smallest positive multiple of 72° that brings the two fans into alignment. This can be done using the modulo operation.
Let's calculate it step by step:
1. Start with an angle of 0°.
2. Increment the angle by 72° until we find the first multiple of 72° that brings the blades of the first fan into alignment with the blades of the second fan.
Using this approach, we find that the least number of degrees you need to rotate the top fan is 0°, as the blades are already perfectly aligned.