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) $\sqrt { h ^ { 2 } + 34 h + 289 }$

Question

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) $\sqrt { h ^ { 2 } + 34 h + 289 }$

Quizplus · Accepted Answer

The Answer of 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) $\sqrt { h ^ { 2 } + 34 h + 289 }$

You Are Holding One of the Tethers Attached to the Top