A utility worker is installing a 25-foot pole AB at the foot of a hill. Two guy wires, AC and AD, will help keep the pole vertical. AD is perpendicular to the hill, which makes an angle of 28° with a horizontal line. To the nearest inch, how long should this guy wire be?

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Question

A utility worker is installing a 25-foot pole AB at the foot of a hill. Two guy wires, AC and AD, will help keep the pole vertical. AD is perpendicular to the hill, which makes an angle of 28° with a horizontal line. To the nearest inch, how long should this guy wire be?

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anonymous · Answer

AC*sin65 = AB
so AC = 27.58

anonymous · Answer

and ABcos28 = AD
so AD = 22.07