Question

Use the figure to find m.

Answer 1

`Cos(30)=(5√(3) )/(m)`

⇒
`(√(3) )/(2) =(5√(3) )/(m)`

⇒
`m\:√(3) =10√(3)`

⇒
`m=10`

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Answer 2

m = 10

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