Short Answer
To identify triangle parameters, first determine the lengths of the adjacent side (4.3) and hypotenuse (6.7). Verify the matching triangle option and calculate the angle using the cosine function, defined as Cos x = Adjacent/Hypotenuse, leading to x = cos^{-1}(4.3/6.7).
Step 1: Identify Triangle Parameters
Start by identifying the key dimensions of the triangle. In this case, we need to focus on the adjacent side and the hypotenuse. For our specific triangle, these values are:
- Adjacent side = 4.3
- Hypotenuse = 6.7
Step 2: Recognize the Correct Triangle Option
Next, we will look through given options to find which triangle matches our previously identified parameters. After evaluating the options:
- Option A is determined to align with both the adjacent side of 4.3 and the hypotenuse of 6.7.
Step 3: Verify Using Trigonometric Functions
Finally, we will use the SOH CAH TOA trigonometric identity to verify our findings. According to this identity:
- “Cosine” (Cos) relates the adjacent side to the hypotenuse.
- Use the formula: Cos x = Adjacent/Hypotenuse which gives Cos x = 4.3/6.7.
- To find the angle, calculate x = cos^{-1}(4.3/6.7).