At a point A that is 50 m from the base of a monument, the angle of elevation to the top of the monument is twice as large as the angle of elevation from a point B that is 150 m from the monument.

At a point A that is 50 m from the base of a monument, the angle of elevation to the top of the monument is twice as large as the angle of elevation from a point B that is 150 m from the monument. Assuming that the base of the monument and the points A and B are in the same line on level ground, find the height of the monument.

A. $50 \sqrt{3}$ C. $40 \sqrt{3}$
B. $25 \sqrt{3}$ D. $45 \sqrt{3}$

Solution