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CAT 2023 Set-3 | Quantitative Aptitude | Question: 17

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CAT 2023 Set-3 | Quantitative Aptitude | Question-17

Q. 17)

Let $\triangle A B C$ be an isosceles triangle such that $A B$ and $A C$ are of equal length. $A D$ is the altitude from $A$ on $B C$ and $B E$ is the altitude from $B$ on $A C$. If $A D$ and $B E$ intersect at $O$ such that $\angle A O B=105^{\circ}$, then $\frac{A D}{B E}$ equals

  1. $\sin 15^{\circ}$
  2. $\cos 15^{\circ}$
  3. $2 \cos 15^{\circ}$
  4. $2 \sin 15^{\circ}$
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