SOLUTION: if the point (a,3) is on the terminal side of an angle of 30 (degrees) in standard position than a=

Question 608396: if the point (a,3) is on the terminal side of an angle of 30 (degrees) in standard position than a=
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
if the point (a,3) is on the terminal side of an angle of 30 (degrees) in standard position than a=
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Plot the point on the line y = 3.
Draw a line perpendicular to the x-axis.
You have a right triangle with:
base = a
height = 3
hypotenuse = sqrt[a^2+9]
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Since sin(30) = 1/2
Equation:
3/sqrt(a^2+9)= 1/2
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sqrt(a^2+9) = 6
a^2+9 = 36
a^2 = 27
a = 3*sqrt(3)
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Cheers,
Stan H.
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