Final answer:
To find arctan(1.4826) to the nearest degree, use a scientific calculator with the arctan function set to degrees. The answer will be approximately 56 degrees.
option b is the correct
Step-by-step explanation:
The question asks us to find the angle whose tangent is 1.4826 rounded to the nearest degree. To solve this problem, we use the arctan function (also represented as tan⁻¹), which is the inverse of the tangent function and gives the angle that has a given tangent value.
By using a scientific calculator, or an online tool capable of computing trigonometric functions, we can find the angle. Here's a step-by-step explanation:
- Enter the given tangent value 1.4826 into the arctan function of the calculator.
- Make sure the calculator is set to degrees if you want the result in degrees.
- Read the resulting value, which will give you the angle in degrees.
After performing the computation, you should get an angle close to 56 degrees. Hence, the correct answer to the nearest degree is 56°.