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two rangers at stations located 10 miles apart both see a camper distress signal in the distance the signal is at a compass bearing of 70 degrees from the north station and 40 degrees from the south station find the distance to the angle signal from south station to the nearest hundred

two rangers at stations located 10 miles apart both see a camper distress signal in the distance the signal is at a compass bearing of 70 degrees from the nort class=

Respuesta :

MathPhys

Answer:

10 miles

Step-by-step explanation:

∠1 = 70° and ∠3 = 40°.  Angles of a triangle add up to 180°, so ∠2 = 70°.

Using law of sines:

10 / sin(∠2) = x / sin(∠1)

10 / sin(70°) = x / sin(70°)

x = 10

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