Question 1170179
A flagpole 20m high stands on top of a tower which is 96n high. 
At what distance from the base of the tower will the flagpole subtend an angle of 4.
 Use sine or cosine law>
:
Height of flag pole: 20 + 96 = 116 m 
let d = dist from pole to point where 4 degrees subtends the top of the tower
A right triangle is formed, use the tangent of 4 degrees
tan(4) = {{{116/d}}}
tan(4)*d = 116
d = {{{116/tan(4)}}}
d = 1,659 meters
:
If they insist on using the sine or cosine, we must find the hypotenuse (h) first.
sin(4) = {{{116/h}}}
h = {{{116/sin(4)}}}
h = 1663 meters from the distant point to the top of the tower
with this info we can find d using the cosine
cos(4) = {{{d/1663}}}
d = cos(4) * 1663
d = 1659 meters also