Question

Solve for the nearest tenth
Solve for the missing side

Answer 1

`\Huge\boxed{x=11.8}`

Explanation:

Hello There

cos = adjacent divided by hypotenuse

the adjacent side of the angle that has a measure of 49 is x and the hypotenuse is 18

so

`cos49=(x)/(18)`

once again we want to isolate the variable using inverse operations

to get rid of the 18 we multiply each side by 18

`(x)/(18) *=x\\cos49*18=18cos49`

we're left with

`x=18cos49`

now we let the calculator do the rest of the work

we end up with

`x=11.80906252`

our final step would be to round to the nearest tenth

so we can conclude that the x = 11.8