Understanding Bearings

* Bearings are measured clockwise from North.

* A bearing of 247 degrees means the plane is flying roughly southwest.

Visualizing the Problem

Imagine a compass with North at the top. The plane's flight path makes a 247-degree angle with North. We need to find the south and west components of this 1500 km flight.

Trigonometry

We can use trigonometry to find the south and west components:

* South Component: The south component is the side of the triangle adjacent to the angle (247 degrees - 180 degrees = 67 degrees). We'll use the cosine function:

* South = 1500 km * cos(67°) ≈ 607.6 km

* West Component: The west component is the side of the triangle opposite the angle. We'll use the sine function:

* West = 1500 km * sin(67°) ≈ 1381.3 km

Answer:

The plane is approximately 607.6 km south and 1381.3 km west of its home base.