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

Answer:

DG=8.62

Step-by-step explanation:

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

$sineX=\frac{opposite}{hypotenuse}\\\\sin72=\frac{8.2}{x}$

Solve for x. Multiply both sides by x:

$x*(sin72)=x*(\frac{8.2}{x} )$

$x*sin72=8.2$

Divide both sides by sin 72:

$\frac{x*sin72}{sin72}=\frac{8.2}{sin72}$

$x=\frac{8.2}{sin72}$

Insert into a calculator:

$x=8.622$

Round to the nearest hundredth:

$x=8.62$

Done.