Question

Find m A. 10 B. 5 C.√53 D. 10√3/3

Answer 1

`m = 10`

Explanation:

Looking at the angles, we can see that this is a 30-60-90 triangle.

The side that is with the 30° angle and the 90° angle is represented by
`x√(3)`.

So let's find x.

`x√(3) = 5√(3)`

Divide both sides by
`√(3)`:

`x = 5`.

Now the hypotenuse is always
`2x` (the leg with the 90° and 60° is just x.) So,

`2x = 2\cdot5 = 10`.

Hope this helped!