On a map where each unit represents one kilometer, two marinas are located at P(4,2) and Q(8,12). If a boat travels in a straight line from one marina to the other, how far does the boat travel? A.

B.

C.

D.



B

Step-by-step explanation:

draw a right angled triangle with the right angle in the bottom left

label P as the bottome left corner and write its coordinates next to it

do same with Q

the length of the triangle is 4 (8-4 = 4)

the height is 10 (12-2 = 10)

use pythagoras to work out the hypotenuse:

a = 11 : 4

b = 38

c = 1 for every 6