jp7736160 jp7736160
  • 13-11-2019
  • Mathematics
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Officer Ron drove his police car 30 km east and then 250 km south. How far is he from his starting point?​

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znk
znk znk
  • 13-11-2019

Answer:

[tex]\large \boxed{\text{251.7 km}}[/tex]

Step-by-step explanation:

Officer Ron is driving along the sides of a right triangle, so we can use Pythagoras' Theorem to calculate the distance from his starting point.

[tex]\begin{array}{rcl}x^{2} & = & y^{2} + z^{2}\\& = & 30^{2} + 250^{2}\\& = & 900 + 62500\\& = & 63400\\x & = & \sqrt{63400}\\& \approx & \mathbf{251.7}\\\end{array}\\\text{Officer Ron is $\large \boxed{\textbf{251.7 km}}$ from his starting point}[/tex]

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