Question

Find the value of x. Round to the nearest tenth. tan 46 = x/12

Answer 1

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

Answer 2

Tan46=x/12
12×tan 46=x
12×1.03=x
0.21255=x