521,270 views
38 votes
38 votes
from the top of the tower the angle of depression of a bottom of a pillar on the same surface of height is 20 metre is 60 degree. if the angle of depression from the top of the pillar to the bottom of a tower is 22 degree. find the height of the tower.​

User TFischer
by
2.8k points

1 Answer

28 votes
28 votes

Answer:

85.74 m.

Explanation:

tan 22 = 20/x where x is the distance between the tower and the pillar.

x = 20 tan 22 = 49.50.

tan 60 = h/49.50 where h is height of the tower

h = 49.5 tan 60

= 85.74 m.

User Izana
by
2.8k points