Question

PLZ HELP ME!!! THANK YOU!!!! SOS!!!

Answer 1

`x=8\\y=6.9`

Explanation:

First find x:

Use the sine ratio since you have the side opposite the given angle and need to know the hypotenuse:

`sine=(opposite)/(hypotenuse)`

Insert values:

`sin30=(4)/(x)`

Isolate x. Multiply both sides be x:

`x*(sin30)=x*((4)/(x))\\\\x*sin30=4`

Divide both sides by sin30°:

`(x*sin30)/(sin30)=(4)/(sin30)\\\\x=(4)/(sin30)`

Insert into a calculator:

`x=8`

Now find y. Use either the cosine or tangent ratio:

`cosine=(adjacent)/(hypotenuse)\\\\tangent=(opposite)/(adjacent)`

Insert values:

`cos30=(y)/(8)`

Isolate y. Multiply 8 on both sides:

`8*(cos30)=8*((y)/(8) )\\\\8*cos30=y\\\\y=8*cos30`

Insert into a calculator:

`y=6.9`

Finito.