Answer:
ST ≈ 10.9 ft
Step-by-step explanation:
Using the sine ratio in the right triangle
sin32° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{US}{ST}[/tex] = [tex]\frac{5.8}{ST}[/tex] ( multiply both sides by ST )
ST × sin32° = 5.8 ( divide both sides by sin32° )
ST = [tex]\frac{5.8}{sin32}[/tex] ≈ 10.9 ( to the nearest tenth )
