Use a calculator to evaluate the expression. Round your answer to the nearest hundredth. \[ \arccos \left(\frac{15}{17}\right) \approx \text { Number radians } \]

Step 1 ：Find the arccos of \(\frac{15}{17}\) and round the result to the nearest hundredth.

Step 2 ：\(\arccos \left(\frac{15}{17}\right) \approx \text{Number radians}\)

Step 3 ：Using a calculator, we get the result as 0.48995732625372834

Step 4 ：Round the result to the nearest hundredth: 0.49

Step 5 ：\(\boxed{\text{Final Answer: The arccos of }\frac{15}{17}\text{ rounded to the nearest hundredth is approximately 0.49 radians.}}\)