Question

a vertical tower stands on a horizontal plane and is surmounted by a flag staff of height 5m. from a point on the ground the angles of elevation the top and the bottom of the flagg staff are 60 degrees and 30 degrees respectively. find the height of the tower and the distance of the point from the base of the tower ​

Answer 1

given that the height of flagstaff =5m

Now,

Let height of tower be q and distance between the tower be x

from triangle ABC

tan 60°= 5+q/x

= 5+q = x root 3 ----------1

and from triange DBC

tan 30°= q/x =》x=q root 3 ---------2

From 1 and 2 we get

5+q=root 3 × q root 3

5+q=3q

2q=5

q=2.5

Thus , height of tower = 2.5 m