is a vertical pole with at the ground level and at the top. A man finds that the angle of elevation of point from a certain point on the ground is . It moves away from the pole along the line to a point such that . From , the angle of elevation of the point is . Then, the height of the pole is
Step 1: Given data and diagram of given problem
Angle of elevation of point ‘A’ from point ‘D’
Angle of elevation of point ‘A’ from point ‘C’
Length,
Step 2: Calculating the height of Pole AB.
We know that
So in triangle ABC we have
In triangle ABD we have
Now we have,
Hence option(C) is correct answer.