Question

Team A is located on the south bank of a river. Teams B and C are located on the north bank. The angle formed from Team C to Team A is S 20o W. Team C is 45 feet due west of Team B and 25 feet from Team A. How far is Team A from Team B?

Answer 1

Explanation:

Given :

Using cosine rule :

c² = a² + b² - 2abCosC

c² = 45² + 25² - 2(45)(25) - cos70

c² = 2650 - 2250 * - 0.3420201

c² = 2650 + 769.54532

c² = 3419.5453

c = sqrt(3419.5453)

c = 58.476

c = 58.5 feets