2. Who is closest to the pot of gold?
Three pirates are on a
quest to find the pot of
gold, situated at the origin
{0,0}.
The pirates are located at
the following points:
Calico Jack – { -4 , 5 }
Black Beard – { -7 , -1 }
Long John Silver – { 6 , 2 }
The measurements are in
kilometres.
Who is the closest?
3. Who is closest to the pot of gold?
Three pirates are on a
quest to find the pot of
gold, situated at the origin
{0,0}.
The pirates are located at
the following points:
Calico Jack – { -4 , 5 }
Black Beard – { -7 , -1 }
Long John Silver – { 6 , 2 }
Who is the closest?
4. Who is closest to the pot of gold?
Use the formula (based on
Pythagoras’ theorem)
C – { -4 , 5 }
O–{0,0}
Distance = (x2 - x1 )2 + (y2 - y1 )2
5. Who is closest to the pot of gold?
C – { -4 , 5 }
O–{0,0}
Distance = (x2 - x1 )2 + (y2 - y1 )2
Distance = (0 - -4)2 + (0 - 5)2
= (16 + 25)
= 41
Distance for Calico Jack to gold is 6.4km (to 1 dp) or 41 km
6. Who is closest to the pot of gold?
Calico Jack – { -4 , 5 }
C = 41 km
Black Beard – { -7 , -1 }
B = (0 - -7)2 + (0 - -1)2
B = (49 +1)
Distance = (x2 - x1 ) + (y2 - y1 )
2
2
B = 50 km
Long John Silver – { 6 , 2 }
L = (0 - 6)2 + (0 - 2)2
Long John Silver is the closest to the Pot
of gold at
40 km
L = (36 + 4)
L = 40 km
7. Dragon’s Revenge
The computer game “Dragon’s Revenge” uses coordinates
to place objects in the game.
Dracon the dragon, who is near death, can only fire his
fireball a distance of 6 metres. Three attackers are in view.
He cannot afford to waste any fireballs. Dracon is situated
at the point (5,4)
The soldiers are placed at
A (8,7)
B (2,-1)
C (9,0)
Can Dracon kill all the soldiers? Show all your working.
8. Dragon’s Revenge
• Distance AD
A
D
C
B
AD = (8 - 5)2 + (7 - 4)2
AD = (9 + 9
AD = 18
• Distance CD
CD = (2 - 5)2 + (-1- 4)2
CD = 9 + 25
CD = 34
• Distance BD
BD = (9 - 5)2 + (0 - 4)2
BD = 16 +16
BD = 32