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Answer :
The resultant vector M+N with M = 4.00 m points eastward and vector N = 3.00 m points southward is 5.00 m at an angle 36.9 degree south of east.
To find the resultant vector M + N, where vector M = 4.00 m points eastward and vector N = 3.00 m points southward, we can use the Pythagorean theorem and trigonometry to calculate the magnitude and direction of the resultant vector.
Step 1: Calculate the magnitude of the resultant vector.
Magnitude = √(M² + N²) = √(4.00² + 3.00²) = √(16 + 9) = √25 = 5.00 m
Step 2: Calculate the angle of the resultant vector using the arctangent function.
Angle = arctan(opposite/adjacent) = arctan(N/M) = arctan(3.00/4.00) = arctan(0.75) ≈ 36.9 degrees
So, the resultant vector M + N is 5.00 m at an angle of 36.9 degrees south of east. The correct answer is B) 5.00 m at an angle 36.9 degrees south of east.
Learn more about using trigonometry to resolve vectors : https://brainly.com/question/17264346
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