Final answer:
To find arctan 1.5 to the nearest degree, use a scientific calculator set to degree mode, and round the result to the nearest whole number. The angle found is the angle whose tangent is 1.5.
Step-by-step explanation:
To evaluate arctan 1.5 to the nearest degree, you would typically use a scientific calculator. The arctan function, also known as the inverse tangent or tan-1, finds the angle whose tangent is the given number, in this case, 1.5. Since most calculators are set to provide answers in radians by default, ensure that your calculator is set to degree mode before performing the calculation.
Upon entering arctan 1.5 into a calculator, the displayed result will be the angle in degrees. Round this angle to the nearest whole number as required. For instance, if the calculator shows an angle like 56.31 degrees, you would round this to 56 degrees as the nearest degree.
In cases without a calculator, arc tangent values can be estimated from various mathematical references or tables that give pre-calculated values for common angles.
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