Answer:
49.39 units.
Step-by-step explanation:
In Right Triangle TUV, [tex]\angle U[/tex] is a right triangle.
TU = 18.5
∠T = 68 degrees
[tex]\cos \theta =\dfrac{Adjacent}{Hypotenuse} \\$Using the trigonometric formula above:\\\cos T =\dfrac{TU}{TV}\\\\\cos 68^\circ =\dfrac{18.5}{TV}\\\\$Cross multiply\\TV*\cos 68^\circ=18.5\\\\TV=\dfrac{18.5}{\cos 68^\circ}\\\\TV=49.39$ units[/tex]
The length of segment TV is 49.39 units.
