Final answer:
The value of the trigonometric ratio Tan 79° to the nearest ten thousandth is approximately 5.1446, which is option (c).
Step-by-step explanation:
The student is asking for the value of the tan of 79 degrees to the nearest ten thousandth. To find this value, one would traditionally use a scientific calculator or a trigonometry table. However, as a tutor, I will provide you with the answer by using such a tool to find the accurate value:
- Enter 79 into the calculator.
- Press the tan function key.
- Read the value provided by the calculator to the nearest ten thousandth.
After performing these steps, we find that the correct answer to the student's question is Tan 79° ≈ 5.1446. This means option (c) is the correct answer.