Answer:
The maximum possible error of in measurement of the angle is
Step-by-step explanation:
From the question we are told that
The angle of elevation is
The height of the tree is h
The distance from the base is D
h is mathematically represented as
Note : this evaluated using SOHCAHTOA i,e
Generally for small angles the series approximation of
So given that
=>
Now from the question the relative error of height should be at most
%
=>
=>
=>
So for
substituting values
=>
Converting to degree