Answer:
m = 10
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj side / hypotenuse
cos 30 = 5 sqrt(3) / m
m cos 30 = 5 sqrt(3)
m = 5 sqrt(3) / cos 30
m = 5 sqrt(3) / sqrt(3)/2
m = 5 / (1/2)
[tex]Cos(30)=\frac{5\sqrt{3} }{m}[/tex]
⇒ [tex]\frac{\sqrt{3} }{2} =\frac{5\sqrt{3} }{m}[/tex]
⇒ [tex]m\:\sqrt{3} =10\sqrt{3}[/tex]
⇒ [tex]m=10[/tex]
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Hope it helps...
Have a great day!!
