Question 33
Triangle $ABC$ has $\angle A = 90^\circ$, $\angle B = 30^\circ$, and $D$ is the foot of the altitude from $A$. Let $E \in (AD)$ be such that $DE = 3AE$ and let $F$ be the foot of perpendicular from $D$ on $BE$.
a) Prove that $AF \perp FC$.
b) Find the measure of the angle $AFB$.
a) Prove that $AF \perp FC$.
b) Find the measure of the angle $AFB$.