Question

Find m A. 10 B. 5 C.√53 D. 10√3/3

Answer 1

Answer:

$m = 10$

Step-by-step 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 $x\sqrt{3}$.

So let's find x.

$x\sqrt{3} = 5\sqrt{3}$

Divide both sides by $\sqrt{3}$:

$x = 5$.

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

$2x = 2\cdot5 = 10$.

Hope this helped!