CDS 2025 · PYQ · Cone / Trigonometry · medium
A conical body has vertex angle 120°. What is the ratio of the radius of the conical body to its slant height?
- A.1 : 2
- B.√3 : 1
- C.√3 : 2✓ Correct
- D.√2 : 1
Vertex angle is 120° at apex, so the half-angle is 60°. In the cone, sin(60°) = r/l (radius / slant height) = √3/2. So r : l = √3 : 2.
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