Question

Please help, thank you​

Answer 1

Answer:

$x\approx12.1940$

Step-by-step explanation:

So we want to find the value of x.

To do so, we can use the standard trigonometric ratios.

Focus on Angle B. The opposite side is 8, and the hypotenuse is x. Therefore, we can use the sine function.

Recall that sine is:

$\sin(x)=opp/hyp$

Substitute 41 for x, 8 for the opposite, and x for the hypotenuse:

$\frac{\sin(41)}{1}=\frac{8}{x}$

Cross multiply:

$8=x\sin(41)$

Divide both sides by sin(41):

$x=8/\sin(41)$

Use a calculator:

$x\approx12.1940$