Question

From the top of a buliding 12m high the angle of elevation of the top of tower is found to be 45 and the angle of depressing of the base of the tower is 30. The height of the tower is

Answer 1

Answer:

12 + 12/root3

Step-by-step explanation:

Find perpendicular distance between bases of building and tower = 12/ root3

Consider triangle formed between top of building , top of tower and perpendicular distance from top of building to tower . In given triangle tan 45 = D / 12 / root3 . D = 12 / root3 .

height of tower = height of building + D = 12 + 12/root3 .