Answer:
x = 4
Step-by-step explanation:
We require to find RT
Since ΔRST is right use the sine ratio to find RT
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2\sqrt{3} }{RT}[/tex]
Multiply both sides by RT
RT × sin60° = 2[tex]\sqrt{3}[/tex] ( divide both sides by sin60° )
RT = [tex]\frac{2\sqrt{3} }{sin60}[/tex] = 4
-----------------------------------------------------------------------
Since ΔRTQ is right use the tangent ratio to find x
tan45° = [tex]\frac{RQ}{RT}[/tex] = [tex]\frac{x}{4}[/tex]
Multiply both sides by 4
4 × tan45° = x, hence
x = 4 × 1 = 4
That is x = 4
