Question

Find the value of x. Your answer must be exact.
X
12.
600
X=

Answer 1

x = 6√3

Explanation:

Since the figure above is a right angled triangle we can use trigonometric ratios to find x

To find x we use sine

sin ∅ = opposite / hypotenuse

From the question

The hypotenuse is 12

The opposite is x

Substitute the values into the above formula and solve for x

That's

`\sin(60) = (x)/(12)`

`\sin(60) = ( √(3) )/(2)`

`x = ( √(3) )/(2) * 12`

We have the final answer as

x = 6√3

Hope this helps you