A right triangle has an angle that measures 34 and the adjacent side measures 17. What is the length of the hypotenuse to the nearest tenth? (F) 20.5 (G) 25.2 (H) 30.4 (I) 34

Step 1 ：Given a right triangle with an angle of \(34^\circ\) and an adjacent side of \(17\), we want to find the length of the hypotenuse.

Step 2 ：Using the cosine function, we have the formula: \[\cos(\text{angle}) = \frac{\text{adjacent side}}{\text{hypotenuse}}\]

Step 3 ：Rearrange the formula to solve for the hypotenuse: \[\text{hypotenuse} = \frac{\text{adjacent side}}{\cos(\text{angle})}\]

Step 4 ：Plug in the given values: \[\text{hypotenuse} = \frac{17}{\cos(34^\circ)}\]

Step 5 ：Calculate the hypotenuse: \[\text{hypotenuse} \approx 20.5\]

Step 6 ：\(\boxed{20.5}\) is the length of the hypotenuse to the nearest tenth.