2D Vectors Problem

Hey, i have a 2D vectors problem here:

A person leaves home, drives 26km due north, then turns onto a second highway and continues in a direction of 30.0 degrees north of east. What is her total displacement?

i've drawn a diagram, and the person's 'path' obviously does not make a right angle triangle. therefore i'm not sure how to calculate displacement for this problem. any hints or pointers greatly appreciated!

-jen

jen333 said:
Hey, i have a 2D vectors problem here:

A person leaves home, drives 26km due north, then turns onto a second highway and continues in a direction of 30.0 degrees north of east. What is her total displacement?

i've drawn a diagram, and the person's 'path' obviously does not make a right angle triangle. therefore i'm not sure how to calculate displacement for this problem. any hints or pointers greatly appreciated!

-jen
From what I understand, either you need to know another length (the one of the second highway) or you need to express the displacement in terms of the length of the second highway e.g. you do not have a defined number.

oh, sorry! my mistake...
i forgot to add that the person drives for a distance of 62km on the second highway.

-jen

Cosine law...

BobG