You and a friend decide to set up a volleyball net in your backyard. Each pole that holds the net has a string to secure it to the ground for stability. If the pole is 8 feet tall after being placed in the ground and the stability string is 12 feet long, what is the approximate angle formed between the pole and the string?

To find the angle formed between the pole (which is 8 feet tall) and the string (which is 12 feet long), we can use the sine function from trigonometry.

We have a right triangle where:

• One side (the height of the pole) is 8 feet,
• The hypotenuse (the length of the string) is 12 feet.

To find the angle \( \theta \) between the pole and the string, we can use the formula:

\[ \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{8}{12} \]

Calculating this gives:

\[ \sin(\theta) = \frac{2}{3} \approx 0.6667 \]

Now we can find the angle \( \theta \) using the arcsine function:

\[ \theta = \arcsin(0.6667) \approx 42° \]

Therefore, the approximate angle formed between the pole and the string is 42°.

So the answer is 42°.