Final answer:
To find the angle formed between the ladder and the ground, we can use trigonometry. Using the sine function and the given values of the ladder length and roof height, the angle is approximately 62.2 degrees.
Step-by-step explanation:
To find the angle formed between the ladder and the ground, we can use trigonometry. We know that the ladder is 13 feet long and the height of the roof is 12 feet. Using the sine function, we can set up the equation sin(θ) = opposite/hypotenuse, where θ is the angle we want to find. Plugging in the values, we get sin(θ) = 12/13. To solve for θ, we can use the inverse sine function to find that θ = arcsin(12/13). Calculating this value, we find that the angle formed between the ladder and the ground is approximately 62.2 degrees.