ASAP explain how to solve step by step.....- Points A and B are on opposite sides of a lake. A point C is 81.3 meters from A. The measure of angle BAC is 78.33°, and the measure of angle ACB is determined to be 34.167°. Find the distance between points A and B (to the nearest meter).

ASAP explain how to solve step by step Points A and B are on opposite sides of a lake A point C is 813 meters from A The measure of angle BAC is 7833 and the me class=

Respuesta :

m∠B=180 - 78.33 - 34.167 = 67.503°

By the law of sines:

AB/sinC = AC/sinB  ⇒  
AB = (AC*sinC)/sinB = (81.3*sin34.167°)/sin67.503° =
      =(81.3*0.5616)/0.9239 ≈ 49 m.
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