Question 53
Two straight roads leave L at an acute angle $\alpha$. On one road are lamps P and Q, with $LP=40\,\mathrm m$ and $LQ=90\,\mathrm m$. Eva is at E on the other road and sees the lamps under angle $P\widehat E Q$. How far from L is Eva when this angle is as large as possible?
(A) 40 m; (B) 60 m; (C) 65 m; (D) 90 m; (E) The distance depends on $\alpha$.
(A) 40 m; (B) 60 m; (C) 65 m; (D) 90 m; (E) The distance depends on $\alpha$.