1.

This has to do with Ratios of Special Right Triangles.

Answer»

Answer:

4√3 / 3.

Step-by-step explanation:

From the PROPERTIES of trigonometric ratios :

             tan30° = 1 / √3

Here,

   TANGENT of 30° =  height / BASE

                        = x / 4

⇒ tan30° = x / 4

⇒ 1 / √3 = x / 4

⇒ 4 / √3 = x

Dividing as WELL as multiplying by √3:

⇒ ( 4 / √3 ) ( √3 / √3 ) = x

⇒ ( 4√3 ) / ( √3 * √3 ) = x

⇒ ( 4√3 ) / 3 = x

⇒ 4√3 / 3 = x

  HENCE, length of the side x is 4√3 / 3.


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