Problem

Height  You are holding one of the tethers attached to the top of a giant character balloo...

Height  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 100 feet ahead of the balloon (see figure).

(a) Find an equation for the length l of the tether you are holding in terms of h, the height of the balloon from top to bottom.


(b) Find an equation for the angle of elevation θ from you to the top of the balloon.


(c) The angle of elevation to the top of the balloon is 35°. Find the height h of the balloon.

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