The angle of elevation of the top of a tower from a point A on the ground is on moving a distance of towards the foot of the tower to a point B the angle of elevation increases to find the height of the tower and the distance of the tower from the point A.
Step 1: Draw the figure for the given question :
Step 2: Calculate the height of the tower w.r.t :
In triangle BCD,
Step 3: Calculate the distance of the tower from the point A :
In triangle ACD,
Therefore, the distance of the tower from the point A:
Step 4: Calculate the height of the tower :
Therefore, the height of the tower:
Hence, the distance of the tower from the point A is and the height of the tower is .