Mathematics

Question

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.


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 ot

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  • Answer:

    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:

    [tex]\sqrt{4^{2}+10^{2}} =2\sqrt{29}[/tex]