Question

A jogger runs directly east for 4 km, then turns and goes northwest for 7 km. He then travels directly south for 4 km. How far is he from the starting point?

Answer #1

A jogger runs directly east for 3 km, then turns and goes
northwest for 5 km. He then travels directly south for 4 km. How
far is he from the starting point? (km)
In what direction is he from the starting point (measured as an
agle counterwise from the east axis, units are deg)? (Northwest is
the direction lying exactly half way between north and west.)

A jogger runs directly east for 3 km, then turns and goes
northwest for 5 km. He then travles directly south for 4 km. How
fair is he from the starting point? (km)
In what direction is he from the starting point (measured as an
angle counterwise from the east axis, units are deg)? (Northwest is
the direction lying exactly half way between north and west.)

A car goes east for 12 minutes at a speed of 30 km per
hour, then turns 30° north and proceeds for 30minutes at a speed of
45 km/hr Where is the car relative to its starting point at the end
of this time. Please show all work with steps.

Oasis B is 9.0 km due east of oasis A. Starting from oasis A, a
camel walks 22 km in a direction 15.0° south of east and then walks
30 km due north. If it is to then walk directly to B, (a) how far
and (b) in what direction (relative to the positive x-axis within
the range (-180°, 180°]) should it walk?

Oasis B is 9.0 km due east of oasis A. Starting from oasis A, a
camel walks 22 km in a direction 15.0° south of east and then walks
30 km due north. If it is to then walk directly to B, (a) how far
and (b) in what direction (relative to the positive x-axis within
the range (-180°, 180°]) should it walk?

Oasis B is 6.0 km due east of oasis A. Starting from oasis A, a
camel walks 24 km in a direction 15.0° south of east and then
walks 34 km due north. If it is to then walk directly to
B, (a) how far and (b)
in what direction (relative to the positive x-axis within the range
(-180°, 180°]) should it walk?

A boat sails 100 km east than 200 km 60o south of
east. How far and which way is it from the origin?

A person walks in the following pattern: 2.6 km north, then 2.1
km west, and finally 4.0 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?

5. Two roads, one which runs north-south and the other which
runs east-west intersect at Eagle Corners in Winslow Arizona.
Bertrand is approaching Eagle Corners from the north at 60 km/h and
Randy is leaving the Eagle Corners travelling west at 40 km/h. How
fast is the distance between them changing at the instant Bertrand
is 2.0 km north of Eagle Corners and Randy is 2.1 km west of Eagle
Corners?

An oil refinery is located 1 km north of the north bank of a
straight river that is 1 km wide. A pipeline is to be constructed
from the refinery to storage tanks located on the south bank of the
river 8 km east of the refinery. The cost of laying pipe is
$200,000/km over land to a point P on the north bank and
$400,000/km under the river to the tanks. To minimize the cost of
the pipeline, how...

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