Question

A bird flies from its nest 9 km in the direction of 60 degrees north of​ east, where it stops to rest on a tree. It then flies 20 km in the direction due southeast and lands atop a telephone pole. Place an​ xy-coordinate system so that the origin is the​ bird's nest, the​ x-axis points​ east, and the​ y-axis points north. a. At what point is the tree​ located? b. At what point is the telephone pole​ located?

Answer 1

Answer with explanation:

The motion of the bird is shown in the attached figure

part a)

In the ordinate axis as shown in the attached figure we can see that the tree is located at a point
`(9cos(60),9sin(60)=(4.5km,7.794km)` with respect to origin O

Part b)

The location of the telephone pole as seen from the co-ordiante axis is at

`x=4.5+20cos(45)=18.64km\\\\y=7.794-20sin(45)=-6.348km`

The points are located as shown in the figure