Problem 74 - Algebra and Trigonometry

Question

Determine whether each statement makes sense or does not make sense, and explain your reasoning. The bearing from \(O\) to \(B\) is \(E 70^{\circ} \mathrm{S}\).

Step-by-Step Solution

Answer

No, the statement does not make sense as it does not adhere to the traditional format for expressing compass bearings.

Step 1: Understanding Compass Bearings

In navigation, bearing refers to the direction from one point to another in relation to the cardinal directions North, South, East, and West. Compass bearings are traditionally expressed as an angle from North (N) or South (S), towards East (E) or West (W). The angle ranges between 0 degrees to 90 degrees.

Step 2: Breaking Down the Given Bearing

The given bearing from \(O\) to \(B\) is \(E 70^{\circ} \mathrm{S}\). This suggests that the direction is towards East (E) from South (S) by an angle of \(70^{\circ}\). However, compass bearings are not traditionally expressed this way. Instead, they are expressed as an angle from North (N) or South (S), towards East (E) or West (W). Therefore, the given bearing notation doesn't adhere to the usual way of expressing compass bearings.

Step 3: Drawing Conclusion

Given the typical way bearings are expressed, the statement 'The bearing from \(O\) to \(B\) is \(E 70^{\circ} \mathrm{S}\)' does not make sense because it does not adhere to the traditional format for expressing compass bearings.