A person walks in the following pattern: 3.4 km north, then 2.2 km west, and finally 4.9 km south. (a) How far and (b) at what angle (measured counterclockwise from east) would a bird fly in a straight line from the same starting point to the same final point?

Answer with Explanation:

We are given that

Person walks in north direction=3.4 km

Person walks in west direction=2.2 km

Person walks in south direction=4.9 km

a.We have to find the distance flawn by bird in a straight line from the same starting point to the same final point.

x-Component of resultant vector=-2.2 km

y-Component of resultant vector=

Magnitude of resultant vector =

By using the formula of magnitude of vector

r=xi+yj

Substitute the values

b.We have to find the direction .

By using the formula

S of W

Resultant vector lies in III quadrant therefore, in III quadrant the angle

Nof E

Hence, the angle measured from the east in counterclockwise direction=214.2 degree

the old price per ounce is c/4.

the new price per ounce is c/3.6.

the ratio of the old price to the new one is

(c/4)/(c/3.6) = (c/c)×(3.6/4) = 0.9 . . = 9/10 . . "nine tenths" in either form