Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A 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
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.