A hiker walks 30 km on a bearing of 050° from D to F. From F, she walks 50 km on a bearing of 080° to E. Find the distance DE.

here are the solutions for the bearing and distance problem.

Let D be the starting point, F be the intermediate point, and E be the final point.
Given information:

• A hiker walks 30 km on a bearing of $050^\circ$ from D to F. So, $DF = 30$ km and the bearing of F from D is $050^\circ$.
• From F, she walks 50 km on a bearing of $080^\circ$ to E. So, $FE = 50$ km and the bearing of E from F is $080^\circ$.

We need to find:

(i) Distance DE (assuming the question meant DE, as DF