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ch4aika [34]
3 years ago
8

Antonio is standing on a at the edge of a canyon. He yells loudly and hears an echo 1.2 s later. How far away is the other side

of the canyon? You may assume the speed of sound is 340 m/s.
Russell is watching a thunderstorm. He hears the thunder 5 s after seeing a flash of lightning. How far away was the lightning?
Mathematics
1 answer:
Maurinko [17]3 years ago
6 0

Answer:

  • 204 m
  • 1700 m

Step-by-step explanation:

a) In 1.2 seconds, sound will travel a distance of ...

  (1.2 s)(340 m/s) = 408 m

This is the round-trip distance, so the reflecting surface is half that distance away.

The other side of the canyon is 204 m away.

__

b) In 5 seconds, the sound will travel a distance of ...

  (5 s)(340 m/s) = 1700 m

This is the one-way distance, so the lightning is about 1700 m away.

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1. √74; 2. (24.5, 21.5)

Step-by-step explanation:

1. Distance

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\begin{array}{rcl}PQ^{2} & = & PR^{2} + QR^{2}\\& = & 7^{2} + 5^{2}\\ & = & 49 + 25\\& = & 74\\PQ& = & \mathbf{\sqrt{74}}\\\end{array}\\\text{d(P,Q) = $\large \boxed{\mathbf{\sqrt{74}}}$}

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The coordinates of the midpoint M are (24.5, 21.5).

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