Final answer:
To match each of the letters A-G in the figure to the given values of x in radians, we can use the provided information and equations. A is approximately 0.525 radians, B is approximately 0.850 radians, D is approximately 0.508 radians, E is approximately 0.412 radians, and F is approximately 0.926 radians.
Step-by-step explanation:
To match each of the letters A-G with the values of x, we can use the information provided. Let's go through the steps:
- A = 30.1°, so the value of x for A is approximately 0.525 radians (using the conversion 1° = π/180 radians).
- B = 48.7°, so the value of x for B is approximately 0.850 radians.
- C = No value is given for C, so we cannot match it with any of the values of x.
- D = 29°, and using the given equation, we can find that x for D is approximately 0.508 radians.
- E = 23.6°, and similarly, we can find that x for E is approximately 0.412 radians.
- F = 53.1°, and we can find that x for F is approximately 0.926 radians.
- G = No value is given for G, so we cannot match it with any of the values of x.
Therefore, the matching values of x for each letter are:
- A - 0.525 radians
- B - 0.850 radians
- D - 0.508 radians
- E - 0.412 radians
- F - 0.926 radians