Question

What is the value of x in this figure? 14√3 28√3 28√2 28

Answer 1

Answer:

28

Step-by-step 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

Answer 2

Answer:

x=28 (Yup you're correct)

Step-by-step 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

$sin(30)=\frac{14}{x}$

Now we can solve for x

$sin(30)=\frac{14}{x}\\\\x=\frac{14}{sin(30)}$

Now we can plug it into a calculator to get

$x=28$