Question

A bird flies 25.0 m in the direction 55° east of south to its nest. The bird then flies 75.0 m in the direction 55° west of north. What are the northward and westward components of the resultant displacement of the bird from its nest

Answer 1

so this is similar to the last one so we have a bird

Answer 2

we move 55 degrees east of south and 25m so we draw that

Answer 3

so we can see that we use the trig identities

Answer 4

so for the eastward component we see we use sin since sin=opp/hyp

Answer 5

so 25*sin55=opp

Answer 6

with that we get the eastward component which is the same as the westward but we put a negative in front of our answer because an eastward component is heading away from west

Answer 7

oh wait excuse me I did not see the second part

Answer 8

so this would be easier to break into two parts

Answer 9

we take the first drawing and break it into the components like explained earlier and then we do the same thing with the second drawing which would be

Answer 10

and then you add the components of the two triangles together and you get the components of your displacement

Answer 11

thank you so much you r really smart