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You are standing 1000 feet from the Torre Mayor, a skyscraper in Mexico. Even so far, you have have to look up at a 36.43 degree angle to see the top. About how tall is the Torre Mayor ?

 May 5, 2014

Best Answer 

 #3
avatar+118724 
+5

You should draw the right angled triangle first.

$$tan(36.43^0)=\frac{h}{1000}\\\\
h=1000\times tan(36.43^0) \\\\$$
      

$${\mathtt{1\,000}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}{\left({\mathtt{36.43}}^\circ\right)} = {\mathtt{738.072\: \!102\: \!078}}$$

738 feet.

If you need a better explanation just ask - otherwise please say thank you and/or give a thumbs up,  

 May 6, 2014
 #3
avatar+118724 
+5
Best Answer

You should draw the right angled triangle first.

$$tan(36.43^0)=\frac{h}{1000}\\\\
h=1000\times tan(36.43^0) \\\\$$
      

$${\mathtt{1\,000}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}{\left({\mathtt{36.43}}^\circ\right)} = {\mathtt{738.072\: \!102\: \!078}}$$

738 feet.

If you need a better explanation just ask - otherwise please say thank you and/or give a thumbs up,  

Melody May 6, 2014

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