Question

Can someone help me with this problem. Ive been trying to work it out for a while now and still cant seem to find the answer.

Answer 1

DG=8.62

Explanation:

DG is also the hypotenuse. Use the sine ratio. Insert values:

`sineX=(opposite)/(hypotenuse)\\\\sin72=(8.2)/(x)`

Solve for x. Multiply both sides by x:

`x*(sin72)=x*((8.2)/(x) )`

`x*sin72=8.2`

Divide both sides by sin 72:

`(x*sin72)/(sin72)=(8.2)/(sin72)`

`x=(8.2)/(sin72)`

Insert into a calculator:

`x=8.622`

Round to the nearest hundredth:

`x=8.62`

Done.