Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

To get to a park, a tourist goes by car from his house 31 Km heading S67°W, he goes 12 Km heading S11°W for getting to the park. Calculate the distance on straight line from his house to the park. Round your answer to one decimal.

Sagot :

sqdancefan

Answer:

  39.0 km

Step-by-step explanation:

The straight-line distance from the house to the park can be found using the Law of Cosines. The angle where the tourist turned is (180° -(67° -11°)) = 124°. The formula is ...

  c = √(a² +b² -2ab·cos(C))

  c = √(31² +12² -2(31)(12)cos(124°)) ≈ √1521.0395

  c ≈ 39.00

The straight-line distance from the house to the park is 39 km.

View image sqdancefan
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.