Answer :
Final answer:
The steps that you would go east can be calculated by multiplying the total steps by the cosine of the angle of deviation from east. Approximately it would be around 12 steps.
Explanation:
The subject of this question is Engineering Mathematics, specifically vector calculation. A vector to represent the walk would have the magnitude, which is 15 steps, and direction, which is 36.9 degrees. To find out how many 'steps' one would take east, we can use the concept of trigonometry: A vector directed towards east can be obtained by multiplying the total steps walked (i.e., the magnitude of this vector) by the cosine of the angle of deviation from exact East (as per the standard convention of angles).
Steps due East = Magnitude * cos(direction)
= 15 * cos(36.9 degrees)
Using a calculator, we find that cos(36.9) = approximately 0.8, therefore, steps due east would be about 12 steps.
Remember, the reason we use cosine for East-West direction and sine for North-South direction is due to the coordinate system adopted in Mathematics and Engineering, where the angles are measured counter-clockwise starting from East (i.e., positive x-axis).
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