At a distance 'a' from the foot of a tower of height 'b' ,the tower and the flagstaff at the top of the tower make equal angles. Show that the height of the flagstaff is b[ a2+ b2] / a2 - b2 .

h = height of flagstaff

b = height of tower

a =  distance between tower and point of observation

Here, we make use of the formula

In right ΔDBC

In right ΔABC

Using equation (1), we get

Hence, proved.

  • 19
What are you looking for?