QUESTION IMAGE
Question
round all answers to the nearest tenth of a meter.
how far did player a throw the ball?
m
how far did player b throw the ball?
m
Step1: Recall distance - formula
The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Assuming the starting - point is $(0,0)$.
For player A with the end - point $(8,4)$:
Step2: Substitute values for player A
Substitute $x_1 = 0,y_1 = 0,x_2 = 8,y_2 = 4$ into the distance formula.
$d_A=\sqrt{(8 - 0)^2+(4 - 0)^2}=\sqrt{64 + 16}=\sqrt{80}\approx8.9$ m
For player B with the end - point $(16,7)$:
Step3: Substitute values for player B
Substitute $x_1 = 0,y_1 = 0,x_2 = 16,y_2 = 7$ into the distance formula.
$d_B=\sqrt{(16 - 0)^2+(7 - 0)^2}=\sqrt{256+49}=\sqrt{305}\approx17.5$ m
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Player A: 8.9 m
Player B: 17.5 m