Answer :
The angle = 67° and the pole is a right-angled triangle. Therefore the distance required to find (say "x) is the angle opposite the right-angle. The following equation needs to be solved:
cos 67 = 137 / x
Solving for x;
x = 350.62 ft
cos 67 = 137 / x
Solving for x;
x = 350.62 ft