Explanation:

To solve this problem, let's consider a rectangle ABCD, where AB and CD are the sides of the rectangle and AC is the diagonal. We are given that the diagonal AC is inclined to one side of the rectangle at an angle of 25 degrees.

Step 1: Finding the angle between the diagonals

To find the angle between the diagonals, we need to consider the two diagonals of the rectangle. Let's call the other diagonal BD.

Step 2: Understanding the properties of a rectangle

In a rectangle, opposite sides are equal and the diagonals bisect each other. Therefore, we can conclude that AD = BC and AC bisects BD.

Step 3: Constructing a triangle

Let's construct a triangle ADE, where AD is equal to BC and DE is equal to AC. Since AC bisects BD, we can say that AE is equal to EC.

Step 4: Applying trigonometric ratios

In triangle ADE, we have the following information:
- Angle ADE = 25 degrees (given)
- Angle EAD = 90 degrees (as AD is parallel to BC)

Using trigonometric ratios, we can find the value of angle EDA (which is the same as the angle between the diagonals).

Step 5: Calculating the angle between the diagonals

Using the sine ratio, we have:
sin(25 degrees) = DE/AD

Since AD = BC, we can substitute AD with BC:
sin(25 degrees) = DE/BC

Since AE = EC, we can substitute DE with EC:
sin(25 degrees) = EC/BC

We can rearrange the equation to find the value of EC/BC:
EC/BC = sin(25 degrees)

Now, we can find the value of angle EDC (which is the same as the angle between the diagonals) using the sine ratio:
angle EDC = sin^(-1)(EC/BC)

Calculating this value will give us the acute angle between the diagonals.

Step 6: Calculating the answer

Using a scientific calculator, we can find that sin^(-1)(sin(25 degrees)) is approximately equal to 25 degrees.

Therefore, the acute angle between the diagonals is 25 degrees, which corresponds to option B.