fetchingsummer44 fetchingsummer44
  • 11-03-2020
  • Mathematics
contestada

A car travels 250 km east, then turns 25° south of east and goes 115 km. What is the resultant distance traveled?

Respuesta :

Poltergeist
Poltergeist Poltergeist
  • 19-03-2020

Answer:

The distance traveled is 357.54km.

Step-by-step explanation:

The situation is illustrated in the figure attached.

From the law of cosines the distance [tex]d[/tex] is given by

[tex]d^2 = (250km)^2+(115km)^2-2(250km)(115km)cos(155^o)[/tex]

[tex]d^2 = 127837.698 km^2[/tex]

[tex]\boxed{d = 357.54km}[/tex]

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