What is the ratio of the radius of the conical body to its slant height?
Consider the following for the next two (02) items that follow :<br>The angle at the vertex of a conical body is 120°.
- A. 1:2
- B. \sqrt{3}:1
- C. \sqrt{3}:2 ✓
- D. \sqrt{2}:1
Correct Answer: C. \sqrt{3}:2
Explanation
The semi-vertical angle is \theta = 120^\circ / 2 = 60^\circ. In the right triangle forming the cone, \sin \theta = \frac{r}{l}. Thus, the ratio \frac{r}{l} = \sin 60^\circ = \frac{\sqrt{3}}{2}.
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