ANSWERThe exact value is 24√3The approximate value is 41.6 to the nearest tenth.x=52.1 units.EXPLANATIONLet the blue dotted line be h units.This line is opposite to the 60° angle.The side length of the triangle which is 24 units is adjacent to the 60° angle.So we use the tangent ratio,[tex] \tan(60 \degree) = \frac{opposite}{adjacent} [/tex][tex] \tan(60 \degree) = \frac{h}{24} [/tex][tex] \sqrt{3} = \frac{h}{24} [/tex][tex]h = 24 \sqrt{3} [/tex]This is the exact value.[tex]h = 41.6[/tex]This is that approximate value to the nearest tenth.To find the side length , x, we need to use the second triangle.[tex] \sin(53\degree) = \frac{h}{x} [/tex][tex] \sin(53\degree) = \frac{41.6}{x} [/tex][tex]x = \frac{41.6}{\sin(53\degree)} [/tex][tex]x = 52.1[/tex]