The 20-inch rod forms a right triangle with the 15 inches tall box
The value of x in the diagram is 13.2 inches
<h3>How to determine the value of x</h3>
To calculate the value of x, we make use of the following Pythagoras theorem

Evaluate the exponents in the above equation

Subtract 225 from both sides of the equation

Take the square root of both sides

Hence, the value of x in the diagram is 13.2 inches
Read more about Pythagoras theorem at:
brainly.com/question/654982