A BOY WALKS 50KM ON A BEARING 025 AND THEN 200KM DUE EAST

I guess he is then lost.

Or, try the law of cosines.

To solve the problem, we'll break it down into two parts: the boy walking 50km on a bearing of 025, and then walking 200km due east.

1. The boy walks 50km on a bearing of 025:
- "Bearing" refers to the direction in degrees measured clockwise from the north direction.
- To find the distance traveled in the east direction, we need to find the component of the 50km distance that aligns with the east direction.
- Since the bearing is given at 025, we need to find the cosine of the angle between the bearing and east direction.
- The angle between the bearing and the east direction is 360° - 25° = 335°.
- Cosine of 335° = cos(335°) = -cos(335° + 180°) = -cos(155°).
- The distance traveled in the east direction is given by the product of the total distance (50km) and the cosine of the angle:
- Distance traveled east = 50km * cos(155°).

2. After walking 50km on a bearing of 025, the boy walks 200km due east:
- Walking "due east" means walking in the direction directly towards the east without any deviation.
- Therefore, the entire 200km distance is in the east direction.

Now, let's calculate the total distance traveled in the east direction:
- Distance traveled in the east direction = Distance traveled on bearing 025 + Distance traveled due east
- Distance traveled in the east direction = 50km * cos(155°) + 200km
- Use a calculator to find the value of cos(155°).
- Add the two distances together to get the final answer.

Note: Make sure to convert angles to radians if required by your specific problem or calculator.