🔍 Key Concepts

• Relationship between line tension and its vertical component using trigonometry (sine of the line angle to the horizontal)** • Converting kips (thousands of pounds) to long tons (2,240 lb each) • How the number of mooring lines affects the total vertical load

💭 Think About

• First, think about how many mooring lines are likely sharing the total load. How would you use the average tension per line and the number of lines to get the total tension? • For each line, how do you find the vertical component of the tension if you know the line angle? Which trig function relates total tension to the vertical leg of a right triangle? • Once you have the total vertical force in pounds, what exact steps do you need to convert it to long tons so you can compare with the choices?

✅ Before You Answer

• Be clear about the number of mooring lines you are using; this directly scales the total vertical component. • Double-check your unit conversions: 1 kip = 1,000 lb and 1 long ton = 2,240 lb. • Confirm you’re using the correct trig function (likely (T_v = T \sin\theta)) for the vertical component, not cosine or tangent.