9514 1404 393
Answer:
32.4 feet
Step-by-step explanation:
The applicable relationship between angle and triangle lengths is ...
Sin = Opposite/Hypotenuse
The dock height is the side of the triangle opposite the given angle. The desired length is the hypotenuse of the triangle, so we have ...
sin(18°) = (10 ft)/s
s = (10 ft)/sin(18°) = (10/0.30902) ft
s ≈ 32.4 ft
The length of the rope is about 32.4 feet.
