Answer:
31 degrees.
Step-by-step explanation:
Let the measure of angle be x degrees.
We have been given that an angle has a tangent ratio of 0.6009. We are asked to find the measure of angle.
We can represent this information in an equation as:
\(\text{tan}(x)=0.6009\)
We will use arctan to solve our given problem.
\(x=\text{tan}^{-1}(0.6009)\)
\(x=31.001657802187^{\circ}\approx 31^{\circ}\)
Therefore, the measure of angle is approximately 31 degrees.
