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Lucy is on a safari and sports to birds that have perched themselves on top of two congruent trees if lucy is standing under one of the birds, the other bird looks at lucy at an angle of depression of 55 degrees the birds are 9 feet apart, how tall are the conguent trees in ft? 

 May 28, 2014

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 #2
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tan(55)=height/9

$${\mathtt{height}} = {\mathtt{9}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}{\left({\mathtt{55}}^\circ\right)} \Rightarrow {\mathtt{height}} = {\mathtt{12.853\: \!332\: \!060\: \!678}}$$

 May 29, 2014
 #1
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The two congruent trees are X to the 0 power times X feet tall!

 May 28, 2014
 #2
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+5
Best Answer

tan(55)=height/9

$${\mathtt{height}} = {\mathtt{9}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}{\left({\mathtt{55}}^\circ\right)} \Rightarrow {\mathtt{height}} = {\mathtt{12.853\: \!332\: \!060\: \!678}}$$

Guest May 29, 2014

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