Question

Use the figure to find m.

Answer 1

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)

m = 10

Answer 2

Answer:

$Cos(30)=\frac{5\sqrt{3} }{m}$

⇒ $\frac{\sqrt{3} }{2} =\frac{5\sqrt{3} }{m}$

⇒ $m\:\sqrt{3} =10\sqrt{3}$

⇒ $m=10$

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Hope it helps...

Have a great day!!