Respuesta :

Answer:

y = 242.4 ft

Step-by-step explanation:

Since the lines are parallel then the angle at the right side of the triangle is 29° ( adjacent angles are congruent )

Using the sine ratio in the right triangle

sin29° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{500}[/tex]

Multiply both sides by 500

500 × sin29° = y, thus

y = 242.4 ft ( to the nearest tenth )