The distance to the west is 2434.44 miles, and the distance to the north is 482.57 miles. In turn, on the return the plane must travel to a bearing of 180°.
Given that a jet leaves Reno, Nevada and is headed toward Miami, Florida at a bearing of 100 °, and the distance between the two cities is approximately 2472 miles, to determine (A) how far north and how far west is Reno relative to Miami; and B) if the jet is to return directly to Reno from Miami, at what bearing should it travel; The following calculations must be performed, applying trigonometric and Pythagorean functions:
- Sen 100 = Distance west / 2472
- West distance = 2472 x sin 100
- West distance = 2472 x 0.9848
- West distance = 2434.44
- 2424.44² + X² = 2472²
- 5,877,909.3136 + X² = 6,110,784
- X² = 6,110,784 - 5,877,909.3136
- X = √232,874.6864
- X = 482.57 = North distance
- 280 - 100 = 180
Therefore, the distance to the west is 2434.44 miles, and the distance to the north is 482.57 miles. In turn, on the return the plane must travel to a bearing of 180°.
Learn more about trigonometry in https://brainly.com/question/25500576
