You Are Holding One of the Tethers Attached to the Top

question 71

Multiple Choice

You are holding one of the tethers attached to the top of a giant character balloon in a parade.Before the start of the parade the balloon is upright and the bottom is floating approximately 20 feet above ground level.You are standing approximately a = 130 feet ahead of the balloon (see figure) .
Find the length l of the tether you are holding in terms of h, the height h of the balloon from top to bottom.

• A) \(\sqrt { h ^ { 2 } + 34 h + 17,189 }\)
• B) \(\sqrt { h ^ { 2 } + 17 h + 17,189 }\)
• C) \(\sqrt { h ^ { 2 } + 20 h + 689 }\)
• D) \(\sqrt { h ^ { 2 } + 40 h + 689 }\)
• E) \(\sqrt { h ^ { 2 } + 34 h + 289 }\)

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