Question

Find a. Write your answer in simplest radical form.

Answer 1

Answer:

10

Step-by-step explanation:

Use the sine rule to find a (it's the easiest way). If you don't know what it is it's basically making a side and opposite angle equate to another either missing side or angle to find it.

The basic formula is

$\frac{a }{sinA}$ = $\frac{b}{sinB}$ (It would flip if you were trying to find an angle, because you put whatever you are trying to find on top)

So here it'd be:

$\frac{5\sqrt{3} }{sin60}$ = $\frac{a}{sin90}$

Of course you need to rearrange for a, so it would be:

a= $\frac{5\sqrt{3} }{sin60}$ × sin90

Type this into a calculator and you would get:

a= 10.