At a horizontal distance of 34 meters from the base of a tower, the angle of elevation to the top is 72 degrees. Find the height of the tower to the nearest tenth of a meter.
How would I set this up as a drawing
Something like this:
AB is the horizontal distance from the base (34m) and BC is the height (104.64m) of the tower.
Note that we know an angle and an adjacent side to that angle. And we want to find the opposite side.....
( the tower's height). The function that relates these is the tangent.
So we have....
tan(72) = opp/34 .......multiply both sides by 34
34tan(72) = opp ≈ 104.64m