Question

The angle of elevation of the top of a tower at a distance of 120 m from a point a on the ground is 45°. if the angle of elevation of the top of a flagstaff fixed at the top the tower, at a is 60°, then find the height of the flagstaff. [ √3 = 1.732].

Answer 1

Let the ht: of the tower be 120m, let the ht: of the flagstaff be 'x', and the the distance between the tower and the point be 'y'. tan45= 120/y. 1=120/y. Therefore. y=120. tan 60=(x+120)/120. root3=. (x+120)/120. 120root3= x+120. x= 120root3-120
= 120*1.732-120
= 207.84 -120
= 87.84m

Therefore the height of the flagstaff is 87.84m