Answer to Question #195880 in Physics for Mary

Question

A student leaves the house,26 km due to north, then turns onto a street and continues in a direction 30° NE for 35 km and finally turns onto the highway due east for 40 km. What is her total displacement from his house?

Answer 1

$y=26+35\sin30°=43.5\ (km)$

$x=40+35\cos30°=70.31\ (km)$

$L=\sqrt{43.5^2+70.31^2}=82.68\ (km)$ . Answer