To find the angle formed between the ground and the ladder, we can use trigonometry. We have a ladder (hypotenuse) of 20 feet and the distance from the wall (adjacent side) of 5 feet. We will use the cosine function, which is defined as:
\[ \cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}} \]
Plugging in the values:
\[ \cos(\theta) = \frac{5}{20} = \frac{1}{4} \]
Now, to find the angle \(\theta\), we need to take the arccosine (inverse cosine) of \( \frac{1}{4} \):
\[ \theta = \arccos\left(\frac{1}{4}\right) \]
Calculating this gives us:
\[ \theta \approx 75.5° \]
This angle is within the safety protocol of being within 3° of 75°, as it falls between 72° and 78°.
Thus, the correct response is:
Yes, the angle formed is approximately 76°.