Question

The angle of elevation of the top of tower at a distance of 120m from a point A on the ground is 45degree if the angle of elevation of the top of a flagstaff at the top of the tower at AIs 60degerr then find the height of the flagstaff

Answer 1

Let h be height of flagstaff
And 120m is distance between point A and tower
As angle is 45 degrees then
tan45=height of tower/120
height of tower= 120 m
So,
tan 60= h+120/120
h=120(1.73-1)
h=87.6 m
Height of flagstaff is 87.6 m.