(Solved): 5. A boat radioed a distress call to a Coast Guard station. At the time of the call, a vector \( \ ...

5. A boat radioed a distress call to a Coast Guard station. At the time of the call, a vector \( \mathbf{A} \) from the station to the boat had a magnitude of \( 45.0 \mathrm{~km} \) and was directed \( 15.0^{\circ} \) east of north. A vector from the station to the point where the boat was later found is \( \overrightarrow{\mathbf{B}}=30.0 \mathrm{~km}, 15.0^{\circ} \) north of east. a) What are the components of the vector from the point where the distress call was made to the point where the boat was found? In other words, what are the components of vector \( \overrightarrow{\mathbf{C}}=\overrightarrow{\mathbf{B}}- \) \( \overrightarrow{\mathbf{A}} \) ? b) How far did the boat travel from the point where the distress call was made to the point where the boat was found?