Answer:
Therefore the value of x is 8 unit.
Step-by-step 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
[tex]\sin C = \frac{\textrm{side opposite to angle C}}{Hypotenuse}\\[/tex]
Substituting the given values we get
[tex]\sin 30 = \frac{AB}{AC}[/tex]
[tex]\dfrac{1}{2} =\dfrac{4}{x}\\\\\therefore x=4\times 2=8\\\\\therefore x =8[/tex]
Therefore the value of x is 8 unit.
