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goldenfox [79]
2 years ago
5

The rangers at two park stations spot a signal flare at the same time. Based on the measurements shown in the diagram, what is t

he distance between park station 1 and the point where the flare was set off? Round to the nearest tenth. ​

Mathematics
1 answer:
kykrilka [37]2 years ago
5 0

The distance between park station 1 and the point where the flare was set off is 73.9 km.

<h3>What is distance?</h3>

Distance is the length between two points expressed in meters or kilometers.

To calculate the distance between park station 1 and the point where the flare was set off can be calculated using Sine Rule

Formula:

  • a/sinA = b/sinB....................... Equation 1

Where:

  • a = Distance between park station 1 and the point where the flare was set off.

Make a the subject of the equation

  • a = bsinA/sinB............ Equation 2

From the diagram,

Given:

  • A = 59°
  • B = (180-59-75) = 46°
  • b = 6.2 km

Substitute these values into equation 2

  • a = 6.2(sin59°)/(sin46°)
  • a = 73.9 km

Hence, the distance between park station 1 and the point where the flare was set off is 73.9 km.

Learn more about distance here: brainly.com/question/17273444

#SPJ1

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