Khadija Wells

## Answered question

2021-08-18

A rugby player throws the ball from point A that is 18 yards from the endline and 12 m from the sideline (12,18). The ball lands at point B that is is 42 yards from the same endline and 50 yards from the same sideline. How long was the throw?

### Answer & Explanation

falhiblesw

Skilled2021-08-19Added 97 answers

To find the distance, use the distance formula:
$d=\sqrt{{\left(\underset{2}{x}-\underset{1}{x}\right)}^{2}+{\left(\underset{2}{y}-\underset{1}{y}\right)}^{2}}$
From the given $\left(\underset{1}{x},\underset{1}{y}\right)=\left(12,18\right)\phantom{\rule{1em}{0ex}}\text{and}\phantom{\rule{1em}{0ex}}\left(\underset{2}{x},\underset{2}{y}\right)=\left(50,42\right)$. Substitute:
$d=\sqrt{{\left(50-12\right)}^{2}+{\left(42-18\right)}^{2}}$
$d=\sqrt{{\left(38\right)}^{2}+{\left(24\right)}^{2}}$
$d=\sqrt{1444+576}$
$d=\sqrt{2020}$
$d\approx 44.9$ m

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