Final answer:
Using a calculator and the inverse tangent function, we find an angle with a tangent of 7 is approximately 81.87 degrees to the nearest degree, though this is not an option in the question provided.
Step-by-step explanation:
To find an angle whose tangent is 7 using a calculator, we would perform the following steps:
- Enter the value 7 into the calculator.
- Use the inverse tangent function, often denoted as tan-1 or arctan, to find the angle whose tangent is 7.
This calculation will give us an angle in degrees. Rounding to the nearest degree, we find that the angle is approximately 81.87 degrees. However, this angle is not one of the options provided in the question, which could indicate that the question may have a typo or that we are expected to find an angle in a different quadrant that also has a tangent of 7.
To verify our answer using a right triangle, we could construct a triangle where the opposite side is 7 times longer than the adjacent side. Using the Pythagorean theorem, we can calculate the hypotenuse and find that the angle's sine and cosine also correspond to the calculated tangent, confirming that our angle is correct.
Since the calculated angle is not among the options provided, without additional context, it's challenging to select the best answer from the choices provided.