Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

A forestal station receives the locations of two fires, one of them in a forest located 11 Km heading N69°W from the station. The second fire in a forest 21 Km heading S35°E. Calculate the distance on straight line between the two fires. Round your answer to one decimal place.

Sagot :

sqdancefan

Answer:

  30.7 km

Step-by-step explanation:

The distance between the two fires can be found using the Law of Cosines. For ΔABC in which sides 'a' and 'b' are given, along with angle C, the third side is ...

  c = √(a² +b² -2ab·cos(C))

The angle measured between the two fires is ...

  180° -(69° -35°) = 146°

and the distance is ...

  c = √(11² +21² -2(11)(21)cos(146°)) ≈ √945.015

  c ≈ 30.74

The straight-line distance between the two fires is about 30.7 km.

View image sqdancefan
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.