🔍 Key Concepts

• Transverse metacentric height (GM) and how it relates to list and TCG • Use of the sine of the list angle in calculating TCG from known GM and list • Sign convention for TCG to port vs. starboard (port negative, starboard positive)

💭 Think About

• How do you convert a list in feet at the deck to an angle in degrees or radians, and why might that matter here? • If you know GM and the angle of list, what simple relationship links them to TCG? Think about the right triangle formed by G, M, and the centerline. • Based on typical stability sign conventions, should a list to port produce a positive or negative TCG value?

✅ Before You Answer

• Be sure you are using the correct trigonometric function (sine vs. tangent) for small list angles in this type of GM/TCG problem. • Confirm the sign convention: port list usually means a negative TCG, starboard list a positive TCG. • Double‑check that you’ve used the given KGT (GM) correctly and not confused it with KG or KM.