How do you solve $tan (55) = \frac{c + 4}{c}$ $Tan(55)= (c+4)/c$ ?

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Answer 1 · 2018-04-23T03:00:49

The answer is $c = \frac{4}{tan 55 - 1}$ $c=4/(tan55-1)$ .

To solve for $c$ $c$ , get rid of the denominator, then move all the parts containing $c$ $c$ to one side, then factor out $c$ $c$ :

$tan 55 = \frac{c + 4}{c}$ $tan55=(c+4)/c$

$tan 55 \cdot c = \frac{c + 4}{c} \cdot c$ $tan55color(blue)(*c)=(c+4)/(c)color(blue)(*c)$

$tan55color(blue)(*c)=(c+4)/color(red)cancelcolor(black)(c)color(blue)(*color(red)cancelcolor(blue)c)$

$ctan55=c+4$

$ctan55-c=4$

$c(tan55-1)=4$

$color(blue)(color(black)(c(tan55-1))/(tan55-1))=color(blue)(color(black)4/(tan55-1))$

$color(blue)(color(black)(c color(red)cancelcolor(black)((tan55-1)))/color(red)cancelcolor(blue)(tan55-1))=color(blue)(color(black)4/(tan55-1))$

$c=color(blue)(color(black)4/(tan55-1))$

$color(white)c~~9.3425636...$

That's the solution. Hope this helped!

How do you solve Tan(55)= (c+4)/ctan(55)=c+4cTan(55)= (c+4)/c?