SOLUTION: A flagpole is located at the edge of a sheer y = 30-ft cliff at the bank of a river of width x = 20 ft. An observer on the opposite side of the river measures an angle of 9� betwee

Question 810624: A flagpole is located at the edge of a sheer y = 30-ft cliff at the bank of a river of width x = 20 ft. An observer on the opposite side of the river measures an angle of 9� between her line of sight to the top of the flagpole and her line of sight to the top of the cliff. Find the height of the flagpole. (Round your answer to one decimal place.)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A flagpole is located at the edge of a sheer y = 30-ft cliff at the bank of a river of width x = 20 ft. An observer on the opposite side of the river measures an angle of 9� between her line of sight to the top of the flagpole and her line of sight to the top of the cliff. Find the height of the flagpole. (Round your answer to one decimal place.)
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Draw the picture.
Her line of sight angle to the base of the flagpole is arctan(3/2) = 56.3 deg.
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Equation:
tan(56.3+9) = (30+t)/20
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30+t = 20*2.1742 = 43.48
tower = 13.9 ft
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Cheers,
Stan H.
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