Respuesta :

4/3

You know this because the ratios above reveal that the opposite side is 4 and adjacent side is 3. 
The answer is:  "  [tex] \frac{4}{3} [/tex] " .
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Explanation:
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Note:  tan z = (sin z/ cos z) ;

           tan z = (4/5) / (3/5) ; 

                    = 
[tex] \frac{4}{5} [/tex] * [tex] \frac{5}{3} [/tex] ; 
Note:  Both of the "5 ' s" cancel out to "1" ;  since:  "{5 ÷ 5 = 1 }" ;

And we rewrite as:

→    " [tex] \frac{4}{1} [/tex] * [tex] \frac{1}{3} [/tex] "  ;

 =  [tex] \frac{(4*1)}{(1*3)} [/tex] ;

 =  " 
[tex] \frac{4}{3} [/tex] " .
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The answer is:  
 [tex] \frac{4}{3} [/tex] " .
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