Question

Find the value of x.

Answer 1

8.57 i used the google calculator

Answer 2

Use the rule: SOHCAHTOA 

In this case,
x = opposite angle, becuase it is opposite the angle given. 
The given angle is the longest, meaning it is the Hypotenuse 
With this information, we can determine what rule we could apply. Since we have opposite and hypotenuse given, we can use S = O/H. 

Given that there is an angle involved we would have to adapt our rule a little bit. So in more simplier form, we will have to use the inverse sign rule. Before working this equation out, you need to identify each given information.
Thus,
X = O
14 = H
∡60 = θ (delta)
Using the equation; 
60° = x/14
Making x the subject, because we need to fine it's value.
x = sin ⁻¹(14/60°)
x = 0.24u (U standing for Units) 
Ok you should check my working again, because I feel this is incorrect. I must have missed something, or used something incorrectly. Please recheck my answer, there may be a fault.