Vector Problem Homework: Finding Cyclist B's Route to Campground

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SUMMARY

The discussion focuses on calculating the vector that cyclist B must take to reach the campground after becoming lost. Cyclist A travels 1240m east and then 1600m north to arrive at the campground, while cyclist B travels 1960m north. The correct vector for cyclist B to reach the campground is determined to be 1291m at an angle of 16.19° South of East. The calculations and reasoning presented in the forum are confirmed to be accurate.

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Homework Statement


Two cyclists, A and B, start off traveling to a campground. Cyclist A travels due east for 1240m, then turns north and travels for 1600m, ending at the campground.
Cyclist B starts off going north for 1960m, then stops, confused and lost, and asks for directions. Calculate the vector that will take cyclist B to the campground, specifying both magnitude and direction.


Homework Equations





The Attempt at a Solution


I've attached an image of my attempt. I'm not sure if it's correct or not. If someone could take a look at it and point me in the right direction, I'd really appreciate it! My final answer is that the cyclist must travel 16.19° South of East for 1291 m, but I really want to make sure my process is correct.
 

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theintarnets said:

Homework Statement


Two cyclists, A and B, start off traveling to a campground. Cyclist A travels due east for 1240m, then turns north and travels for 1600m, ending at the campground.
Cyclist B starts off going north for 1960m, then stops, confused and lost, and asks for directions. Calculate the vector that will take cyclist B to the campground, specifying both magnitude and direction.

Homework Equations



The Attempt at a Solution


I've attached an image of my attempt. I'm not sure if it's correct or not. If someone could take a look at it and point me in the right direction, I'd really appreciate it! My final answer is that the cyclist must travel 16.19° South of East for 1291 m, but I really want to make sure my process is correct.
That looks fine to me !
 

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