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Mayfield high school's flagpole is 15 feet high. Using a cllinometer, Tamara measured an angle of 11.3 to the top of the pole. Tamara is 62 inches tall. How far from the flagpole is Tamara standing?

 

 

Tamara took another sighting of the top of the flagpole from a different postion. This time the angle is 58.4. If everything else is the same, how far from the flagpole is tamara standing?

 Dec 14, 2016
 #1
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The distance to the flagpole is ONE leg (adjacent) of a right triangle.  the OTHER (opposite) leg is the height of the flagpole minus her height.  (15 x 12 - 62 = 118 inches)

 

tan11.3 = opposite/adjacent =  118/ x     x = 118/tan11.3 = 590.53 inches =  49.21 feet  from the lag pole

 Dec 14, 2016
edited by ElectricPavlov  Dec 14, 2016
 #2
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Tamara took another sighting of the top of the flagpole from a different postion. This time the angle is 58.4. If everything else is the same, how far from the flagpole is tamara standing?

 

tan 58.4  = 118/ x     rearrange

 

x =  118/ tan 58.4  = about 72.6 inches from the pole

 

 

cool cool cool

 Dec 14, 2016

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