Answer: Hello there!
we have the equation tan(46) = x/12
(here I assume that the 46 is in degrees)
and we want to find the value of x.
We need to isolate x on one side of the equation, we can do it by multiplying by 12 in both sides of the equation:
tan(46°)*12 = (x/12)*12 = x
then x = tan(46°)*12 = 12.426
And we want to round it to the nearest tenth.
The tenth is the first number after the decimal point, in this case, is a 4.
To round the number we need to look at the following number, if it is 5 or bigger, we need to round up, if the following number is smaller than 5, we need to round down.
The next number to the 4, is a 2, this means that we need to round down:
this means that the solution is x = 12.4