A boat radioed a distress call to a coast guard station. At the time of the call

Question

A boat radioed a distress call to a coast guard station. At the time of the call, a vector A from the station to the boat had a magnitude of 45 km and was directed 15 east of north. A vector from the station to the point where the boat was later found is B = 30 km, 15 degrees 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 C= B-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 in other words what is the magnitude of vector C? A boat radioed a distress call to a coast guard station. At the time of the call, a vector A from the station to the boat had a magnitude of 45 km and was directed 15 east of north. A vector from the station to the point where the boat was later found is B = 30 km, 15 degrees 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 C= B-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 in other words what is the magnitude of vector C?
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 C= B-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 in other words what is the magnitude of vector C?

Explanation / Answer

We Have

magnitude of Vector A = 45

and angle from North is 15 degree

Magnitude of Vector B = 30

and angle from East = 15 degree

so the final diagramm will be

Solutution:-

A) Magnitude of Vector C is 39.69 and angle between A and C is 52.46o

B. Magnitude of Vector C is 39.69 Km

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