Short Answer 
To determine the angle between the tent pole and the tent side, visualize a right triangle formed by the pole, base, and height. Use the cosine function with a value of 0.77 and apply the arccosine function to find the angle, which is approximately 39.6 degrees.
Step 1: Identify the Right Triangle
Begin by visualizing the structure of the tent, where the central pole acts as one side of a right triangle. The floor of the tent represents the base, while the height of the central pole represents the vertical side. This triangle provides the framework for determining the missing angle using trigonometric ratios.
Step 2: Determine the Cosine Ratio
To find the angle, use the cosine function which is defined as the ratio of the length of the adjacent side (the central pole) to the hypotenuse (the side of the tent). In this case, the cosine value is given as 0.77. This ratio will help us find the angle formed between the pole and the tent side.
Step 3: Calculate the Angle Using ARCCOSINE
To find the specific angle, apply the arccosine function to the ratio obtained. By calculating this, you will find that the angle the tent pole makes with the sides of the tent is approximately 39.6 degrees. This value is crucial for understanding the support dynamics of the tent structure.