Exam-style question
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A vector is resolved into components of 12 N horizontally and 16 N vertically. What is the angle of the vector with respect to the horizontal?.
- A.53.13°
- B.60°
- C.45°
- D.30°
Model answer
What a good answer should say
- 53.13°
Explanation
Why this works
To find the angle, use the formula: angle = tan⁻¹(vertical/horizontal). Substituting gives: tan⁻¹(16 N / 12 N) = tan⁻¹(1.33) ≈ 53.13°.
Therefore, the angle of the vector with respect to the horizontal is approximately 53.13°.
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