Let △ A B C \triangle ABC △ A BC be an isosceles triangle such that A B AB A B and A C AC A C are of equal length. A D AD A D is the altitude from A A...

CAT Hard Triangles MCQ

Question

Let

\triangle ABC

be an isosceles triangle such that

AB

and

AC

are of equal length.

AD

is the altitude from

A

BC

, and

BE

is the altitude from

B

AC

. If

AD

and

BE

intersect at

O

such that

\angle AOB = 105^\circ

, then

\frac{AD}{BE}

equals:

2 \sin 15^\circ

\cos 15^\circ

2 \cos 15^\circ

\sin 15^\circ

isosceles trianglealtitudestrigonometrycat 2023

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