Question

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

Answer 1

The answer is `c=4/(tan55-1)`.

Explanation:

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

`tan55=(c+4)/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!