Using the Pythagorean theorem, we find that the length of the altitude x is 12 units. Here option A is correct.
The triangle in the image is a right triangle with a hypotenuse of 16 units and two legs of 12 units and 12.5 units. We are asked to find the value of x, which is the length of the altitude from the right angle to the hypotenuse.
There are a few ways to solve this problem. We can use the Pythagorean theorem, the trigonometric ratios sine and cosine, or the area formula for right triangles.
Using the Pythagorean theorem, we have:
x^2 + 12^2 = 16^2
Solving for x, we get:
x^2 = 16^2 - 12^2 = 144
x = √144 = 12
Therefore, the value of x is 12 units. Here option A is correct.