Answer: x = 8.7
Explanation:
You are given the reference angle: 60°, the hypotenuse and the leg of which to find.
X is opposite in reference to 60° and you are given the hypotenuse.
Sine works with the hypotenuse and the opposite: sin∅ = opp/hyp
sin(60°) = x/10
To figure out x, you must transpose, to make x the subject. X is being divided by 10, so to undo that you must multiply, and what you do to one side, you must do to the next to balance the equation.
10 x sin(60) = x/10 x 10
= X = sin(60) x 10
sin(60) = 0.866
X = 0.866 x 10
X = 8.66
You can round off to one decimal place or leave the answer as is.
X = 8.7 (1 d.p)