Question

One airplane is approaching an airport from the north at 201
km/hr. A second airplane approaches from the East at 220 km/hr.
Find the rate at which the distance between the plane changes when
the southbound plane is 36 km away from the airport and the
westbound plane is 20 km from the airport

Answer #1

One
airplane is approaching an airport from the north at 213 km/h a
second airplane approaches from the east at 198 km/h find the rate
at which the distance between the planes change when the southbound
plane is 27 km away from the airport and the westbound plane is 23
km from the airport

A plane takes off from an airport and flies to town A,
located
d1 = 285 km
from the airport in the direction 20.0° north of east. The
plane then flies to town B, located
d2 = 220 km
at 30.0° west of north from town A. Use graphical methods to
determine the distance and direction from town B to the airport.
(Enter the distance in km and the direction in degrees south of
west.)
distance
direction

Truck convoy A is approaching a depot from the east at 60 mi/hr
while convoy B is moving north away from the depot at 50 mi/h. How
fast is the distance between the convoys changing when A is 4 mi
from the depot and B is 3 mi from the depot?

One ship is approaching a port from the east, traveling west at
15 miles per hour, and is presently 3 miles east of the port. A
second ship has already left the port, traveling to the north at 10
miles per hour, and is presently 4 miles north of the port. At this
instant, what is the rate of change of the distance between two
ships? Are they getting closer or further apart?

. Two airplanes depart from the same place at 1PM. One plane
flies north at a speed of 365 km/hr and the other flies east at a
speed of 484 km/hr. How far apart are they at 5PM?

A ferry transports tourists among three islands. It sails from
the first island to the second island, 5.84 km away, in a direction
37.0° north of east. It then sails from the second island to the
third island in a direction 73.5° west of north. Finally, it
returns to the first island, sailing in a direction 28.0° east of
south. (a) Calculate the distance between the second and third
islands. km (b) Calculate the distance between the first and third...

A ferryboat transports tourists among three islands. It sails
from the first island to the second island, 4.29 km away, in a
direction 37.0° north of east. It then sails from the second island
to the third island in a direction 59.5° west of north. Finally, it
returns to the first island, sailing in a direction 28.0° east of
south.
(a) Calculate the distance between the second and third
islands.
(b) Calculate the distance between the first and third islands.

One car leaves an intersection traveling north at 48 mi/h.
Later, a second car leaves that same intersection traveling east at
90 mi/h. At what rate is the distance between the cars increasing
when the first car is 96 miles north of the intersection and the
second car is 72 miles east of the intersection?

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?

Suppose that two boats leave a dock at different times. One
heads due north, the other due east. Find the rate at which the
distance between the boats is changing when the first boat is 67
miles from the dock traveling at a speed of 36 miles per hour and
the second boat is 89 miles from the dock traveling at a speed of
37 miles per hour.

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