Option 4
Step-by-step explanation:
From the given figure,
Measure of an angle = 34°
Adjacent side of the given angle = 40m
We have to find the length of the opposite side.
By applying tangent rule in the given right triangle,
tan(34°) =
Opposite side = Adjacent side × tan(34°)
            = 40 × 0.6745
            = 26.98 m
            ≈ 27 m
Therefore, height of the flagpole is approximately 27 m.
Option 4 will be the answer.