Question

Find x.
300
043
00.
083
08
00
02 V3

Answer 1

Therefore the value of x is 8 unit.

Explanation:

Given:

In Right Angle Triangle ABC

angle B = 90°

angle C = 30°

AB = 4

To Find:

AC = Hypotenuse = ?

Solution:

In Right Angle Triangle ABC Sine Identity we have

`\sin C = \frac{\textrm{side opposite to angle C}}{Hypotenuse}\\`

Substituting the given values we get

`\sin 30 = (AB)/(AC)`

`(1)/(2) =(4)/(x)\\\\\therefore x=4* 2=8\\\\\therefore x =8`

Therefore the value of x is 8 unit.