Question 1187817
A flagpole 20m. high stands on top of a tower which is 96m. high.
 At what distance from the base of the tower will the flagpole subtend an angle of 4degrees.
:
Draw this out as a right triangle, with the angle of 4 degrees from the base to the top of the flagpole
:
Height of the flagpole 20 + 96 = 116 m
let d = the distance the 4 degree angle is from the base of the tower
Flagpole is the side opposite the 4 degree angle. Distance from the base is the side adjacent
tan(4) = {{{116/d}}}
tan(4)*d = 116
.069927d = 116
d = {{{116/.069927}}}
d = 1659 meters