Solve for x. Round your answer to 2 decimal places.

Question

anonymous · Answer

attachment

anonymous · Answer

@tcarroll010 I know that sin is opp/hyp

whpalmer4 · Answer

If $$\sin\theta = \frac{18}{x}$$and you know the value of $\theta$, how could you solve that to find the value of $x$?

anonymous · Answer

18/x=sin
x/18 = 1/sin(37)  ?

anonymous · Answer

@whpalmer4

whpalmer4 · Answer

Why not multiply both sides of my equation by $x$, then divide both sides by $\sin\theta$?  That should give you $x$ all alone one one side, and known quantities (well, known to your calculator, at least!) on the other.

anonymous · Answer

I somewhat lost you...

anonymous · Answer

18sin(37)

anonymous · Answer

@norman7 which would be 10.83 correct?

whpalmer4 · Answer

$$\sin\theta = \frac{18}{x}$$Multiply both sides by $x$
$$x\sin\theta = \frac{18}{x}*x$$$$x\sin\theta = 18$$Divide both sides by $\sin\theta$$$x = \frac{18}{\sin\theta} \approx \frac{18}{0.6018} = ? $$

whpalmer4 · Answer

@keeponbleeding @norman7 Come on, look at the triangle.  You're solving for the hypotenuse, which has to be bigger than either of the other sides...

anonymous · Answer

my bad its 18/sin(37)