A pole of length 7 m is fixed vertically on the top of a tower. The angle of elevation of the top of the pole observed from a point on the ground is 60º and the angle of depression of the same point on the ground from the top of the tower is 45º. The height (in m) of the tower is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 9.56
Length of the pole = DC = 7m
The angle of elevation of the top of the pole to ground = 60º
The angle of elevation of the top of the tower = 45º
Now,
Now, in triangle ABD
From the above equations,
