Answer:
The length of the side TU is approximately 29.9 feet long.
Step-by-step explanation:
There is a trigonometry law called the law of sines, which states the sine of an angle divided by its opposite side is equivalent to the sine of all the other angles in that right triangle divided by its corresponding opposite side. You can use this law to help you solve for x. By applying the law of sines, you'll get that [tex]\frac{sin(90^{o})}{x} =\frac{sin(42^{o})}{20}[/tex] ⇒ [tex]\frac{x}{sin(90^{o})} = \frac{20}{sin(42^{o})}[/tex] ⇒ [tex]x=\frac{20*sin(90^o)}{sin(42^{o})}[/tex] ⇒ [tex]x=29.9ft.[/tex]
