Question 1135196
A flag pole XY of length 12m tilts towards an observation point A at an angle of 2° to the vertical.
 If A is on the same level as the foot, X, of the flagpole and AX = 10m,
 find the angle of elevation of the top of the flag pole from A, to the nearest degree.
:
X = 90-2 = 88 degrees
:
Y
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12
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X---10---\A 
:
find the side opposite X, call it x, using the law of cosines
x^2 = 12^2 + 10^2 - 2(12*10)*cos(88)
x^2 = 244 - 2(120)*.0349
x^2 = 235.624
x = {{{sqrt(235.624)}}}
x = 15.35 meters
:
Find angle A using the law of sines
{{{15.35/sin(88)}}} = {{{12/sin(A)}}}
cross multiply
sin(A)*15.35 = 12*sin(88)
sin(A) = {{{11.9927/15.35}}}
A = 51.38 ~ 51 degrees