Asked by Daniel

a boy standing 70m away from a flag–post observes that the angles of elevation of the top and bottom of the tower on top the flag–post are 70^ and 69^ respectively. Find the height of the tower
Answered by Reiny
It appears that the flag-pole is positioned on a hill or on elevated ground in reference to the boy.
So is the 70 m the distance along the slant or is it the horizontal distance ?
I will assume it is the horizontal distance

Make your sketch.

1. Horizontal height to base of flagpole:
tan69 = x/70
x = 70tan69

2. Horizontal height to top of the flagpole
tan 70 = y/70
y = 70tan70

height of pole = y - x
= ....

The question changes totally if the slant distance is 70 m
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