Question

From points A and B on level ground, the
angles of elevation of the top of a building
are 25° and 37° respectively. If |AB| = 57 m,
calculate, to the nearest metre, the distances
of the top of the building from A and B
if they are both on the same side of the
building.

Answer 1

Hope you made a sketch
On mine I labelled the top of the building P and its bottom Q
In triangle ABP, angle ABP = 143 , so angle APB = 12°
by the sine law:
BP/sin25 = 57/sin12
BP = 57sin25/sin12 = ....

repeat for AP

Answer 2

The explanation is not clear enougj