You Are Holding One of the Tethers Attached to the Top

question 164

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 an expression for the angle of elevation from you to the top of the balloon.

• A) \(\theta = \arccos \left( \frac { 130 } { l } \right)\)
• B) \(\theta = \arccos \left( \frac { l } { 130 } \right)\)
• C) \(\theta = \arcsin \left( \frac { l } { h + 17 } \right)\)
• D) \(\theta = \arcsin \left( \frac { h + 20 } { l } \right)\)
• E) \(\theta = \arctan \left( \frac { 130 } { h + 20 } \right)\)

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