Question

What is the value of x in this figure?

14√3

28√3

28√2

28

Answer 1

x=28 (Yup you're correct)

Explanation:

As this problem is involving the Opposite angle and the Hypotenuse, we can use the sin function in order to solve this. The setup is as follows

`sin(30)=(14)/(x)`

Now we can solve for x

`sin(30)=(14)/(x)\\\\x=(14)/(sin(30))`

Now we can plug it into a calculator to get

`x=28`

Answer 2

28

Explanation:

(Look at the picture)

We have the triangle 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.

We have a = 14. Therefore x = 2a ⇒ x = 2(14) = 28