Use your calculator to find the measure of angle. (Round to the nearest tenth degree). \( \tan ^{-1}(3.2) \) Answer:

To find the measure of the angle whose tangent is 3.2, you can use the inverse tangent function, commonly denoted as \( \tan^{-1} \) or arctan. When you input 3.2 into your calculator, make sure it's set to degree mode to get the angle in degrees. The calculation should yield approximately 73.7 degrees when rounded to the nearest tenth. You just discovered that a tangent value over 1 typically indicates a steep angle! In practical scenarios, such angles come into play in fields like architecture and engineering, where understanding the slope of ramps or roofs can dictate safety and functionality. So, your newfound angle knowledge isn’t just theoretical—it’s essential in real-world structures!