Question

a boat is tied to a dock with a 25-foot rope.when the rope is pulled tight, the boat us 18 feet away from the base of the dock. the rope connects to the boat at the level of the water. what is the measure, to the nearest tenth of a degree, of x, the angle formed by the rope and the surface of the water.​

Answer 1

• ≈ 44.0°

Explanation:

Use trigonometry

The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine:

• cos x = 18/25 = 0.72
• cos x = 0.72
• x = arccos 0.72
• x = 43.9455° ≈ 44.0° rounded