A post 8 feet tall casts a shadow 12 feet long at the same time that a flagpole casts a shadow 96 feet long, how tall is the fla
gpole
2 answers:
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By angle addition postulate,
m(∠ABD) + m(∠DBC) = m(∠ABC)
Now substitute the values of each angle,
(5x + 5)° + (3x + 12)° = 153°
Combine like terms of the expression,
(5x + 3x) + (5 + 12) = 153
8x + 17 = 153
8x = 153 - 17
x =
x = 17
Substitute the value of 'x' to get the measure of each angle,
m(∠ABD) = (5x + 5)
= 5(17) + 5
= 90°
m(∠DBC) = (3x + 12)
= 3(17) + 12
= 63°
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Use the x and y values from your point and the h and k from the center to write the equation you need to solve for r. The general form of the equation for a circle is 
. We will fill in accordingly: 
. Solve for r to get that 