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 )