Planning Emergency Routes Problem 1.2 Euclid’s chief of police has hired you to map out emergency...

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Planning Emergency Routes Problem 1.2 Euclid’s chief of police has hired you to map out emergency routes that will allow paramedics and police officers to arrive at the scene of an accident as quickly as possible. She wants the plan to include routes for

Transcript of Planning Emergency Routes Problem 1.2 Euclid’s chief of police has hired you to map out emergency...

Page 1: Planning Emergency Routes Problem 1.2 Euclid’s chief of police has hired you to map out emergency routes that will allow paramedics and police officers.

Planning Emergency RoutesProblem 1.2

Euclid’s chief of police has hired you to map out emergency routes that will allow paramedics and

police officers to arrive at the scene of an accident as quickly as possible. She wants the

plan to include routes for automobiles & helicopters

Page 2: Planning Emergency Routes Problem 1.2 Euclid’s chief of police has hired you to map out emergency routes that will allow paramedics and police officers.

10

8

6

4

2

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-4

-6

-8

-10 -5 5 10City Hall

Art Museum

Gas Station

Stadium

Hospital Cemetery

Animal shelter

Greenhouse

Police Station

1) Give the coordinates of each location, and give precise directions for an emergency car route from the starting location to the ending location.2) Find the total distance, in blocks, a police car would have to travel to get from the starting location to the ending location along your route.

Police station to City Hall

Hospital to City Hall

Hospital to the Art Museum

Police Station the the Stadium

4 blocks

10 blocks

17 blocks

9 blocks

Page 3: Planning Emergency Routes Problem 1.2 Euclid’s chief of police has hired you to map out emergency routes that will allow paramedics and police officers.

10

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10City Hall

Art Museum

Gas Station

Stadium

Hospital Cemetery

Animal shelter

Greenhouse

Police Station

B) A helicopter can travel directly from one point to another. Find the total distance, in blocks, a helicopter would have to

travel to get from one starting location to the ending location. You may find it helpful to use a centimeter ruler (1 cm = 1 block)

Police station to City Hall

Hospital to City Hall

Hospital to the Art Museum

Police Station the the Stadium

Page 4: Planning Emergency Routes Problem 1.2 Euclid’s chief of police has hired you to map out emergency routes that will allow paramedics and police officers.

10

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10City Hall

Art Museum

Gas Station

Stadium

Hospital Cemetery

Animal shelter

Greenhouse

Police Station

B) A helicopter can travel directly from one point to another. Find the total distance, in blocks, a helicopter would have to

travel to get from one starting location to the ending location. You may find it helpful to use a centimeter ruler (1 cm = 1 block)

Police station to City Hall

Hospital to City Hall

Hospital to the Art Museum

Police Station the the Stadium

4 blocks

About 7.2 blocks

13 blocks

About 7.3 blocks

Page 5: Planning Emergency Routes Problem 1.2 Euclid’s chief of police has hired you to map out emergency routes that will allow paramedics and police officers.

10

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10City Hall

Art Museum

Gas Station

Stadium

Hospital Cemetery

Animal shelter

Greenhouse

Police Station

1) How much farther is it from the greenhouse to the stadium by car than by helicopter?

2) How much farther is it from the hospital to the art museum by car than by helicopter?

3)Will the helicopter distance between two locations always be shorter than the car distance?

2 blocks farther by car.

4 blocks farther by car.

The helicopter distance will always be shorter unless the two points are in a vertical or horizontal straight line, in which case the distances are equal.

Page 6: Planning Emergency Routes Problem 1.2 Euclid’s chief of police has hired you to map out emergency routes that will allow paramedics and police officers.

The shortest distance between two points is a straight line.

Part of car distance

Part o

f car d

ista

nce