Discussion Overview
The discussion revolves around calculating the distance from Accra to Banjul, given a distance of approximately 2000 km and a bearing of 295°. Participants explore methods to determine how far north of Accra Banjul is, involving trigonometric functions and geometric representations.
Discussion Character
- Homework-related
- Mathematical reasoning
Main Points Raised
- One participant asks for guidance on how to find the distance north of Accra to Banjul.
- Another suggests drawing a right triangle and using trigonometric functions to find the unknown side.
- A bearing of 295° is noted to correspond to W 15° N, which is used to set up the problem geometrically.
- There is a correction regarding the interpretation of the bearing, with a participant clarifying that 295° translates to W 25° N.
- One participant claims to have found the answer, stating it is 845 km, and another confirms this is correct, rounded to the nearest km.
- A formula is provided for calculating the distance using the cosine of the bearing.
Areas of Agreement / Disagreement
Participants generally agree on the method to calculate the distance and the final answer of 845 km, although there was a correction regarding the bearing interpretation.
Contextual Notes
The discussion includes some assumptions about the geometric representation and the application of trigonometric functions, which may depend on the definitions of bearings and angles used.
