Answer:
[tex]\boxed{Distance = 28.91 m}[/tex]
Step-by-step explanation:
Angle of elevation = α = 47 degrees
Height of the church = opposite = 31 m
Distance from point to the church = adjacent = x
So,
Tan α = [tex]\frac{opposite}{adjacent}[/tex]
Tan (47) = 31/x
=> 1.07 = 31/x
=> x = 31/1.07
=> x = 28.91 m (Upto 2 dps)