Bearings and Ambiguous Cases (SSA Triangles)

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1) A ship sails 40 km on a bearing of 030°. From that point, the angle between its course and a line to a harbor is 45°. The distance to the harbor could have two possible values. Which law is best used?
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Bearings And Ambiguous Cases (Ssa Triangles) - Quiz

Sometimes, bearings and distances create triangles that don’t have one clear answer — that’s the ambiguous case. In this quiz, you’ll learn when and why the Law of Sines can produce one, two, or no possible triangles. You’ll explore SSA setups, test for valid angles, and see how ambiguity affects... see morenavigation and measurement. Step by step, you’ll sharpen your reasoning and recognize when more than one path is possible! see less

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2) When solving SSA triangles with the Law of Sines, which situation can create the ambiguous case?
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3) A plane flies 120 km on a bearing of 045°. From its position, the angle between its course and a lighthouse is 35°. Using the Law of Sines, which unknown is typically found first?
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4) In navigation, if an SSA setup produces an angle larger than 90° that doesn’t fit the triangle, what is the conclusion?
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5) A ship travels 60 km east. The angle from its course to a harbor is 40°. Which law should be used to find the harbor’s distance?
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6) Which condition guarantees only one unique triangle with SSA?
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7) A plane flies 80 km north. A lighthouse is observed at a 50° angle from its course. Which law is applied?
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8) If SSA gives two possible triangles, what is true about the sine of the angle?
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9) A boat sails 100 km northeast. The angle from its path to an island is 60°. What is solved first with the Law of Sines?
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10) Which situation does not create ambiguity?
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11) A pilot knows two sides of a triangle and the angle opposite one of them. Which law is best?
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12) In SSA, when the given angle is acute and the opposite side is shorter than the altitude, what happens?
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13) A triangle with SSA information produces sin θ = 0.8. What are the two possible angles?
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14) A ship sails 90 km on a bearing of 030°. A lighthouse is seen at a 40° angle. Which law should be used?
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15) Which of these is always a case of SSA ambiguity?
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16) If SSA produces an angle whose sine is greater than 1, what does it mean?
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17) A boat travels 70 km. The angle from its course to a harbor is 50°. Distance to harbor is found with:
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18) Which situation can produce exactly one right triangle under SSA?
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19) A plane knows two sides and a non-included angle. Which law is used?
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20) If SSA produces an obtuse angle and the given angle is acute, what happens?
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A ship sails 40 km on a bearing of 030°. From that point, the...
When solving SSA triangles with the Law of Sines, which situation can...
A plane flies 120 km on a bearing of 045°. From its position, the...
In navigation, if an SSA setup produces an angle larger than 90° that...
A ship travels 60 km east. The angle from its course to a harbor is...
Which condition guarantees only one unique triangle with SSA?
A plane flies 80 km north. A lighthouse is observed at a 50° angle...
If SSA gives two possible triangles, what is true about the sine of...
A boat sails 100 km northeast. The angle from its path to an island is...
Which situation does not create ambiguity?
A pilot knows two sides of a triangle and the angle opposite one of...
In SSA, when the given angle is acute and the opposite side is shorter...
A triangle with SSA information produces sin θ = 0.8. What are the...
A ship sails 90 km on a bearing of 030°. A lighthouse is seen at a...
Which of these is always a case of SSA ambiguity?
If SSA produces an angle whose sine is greater than 1, what does it...
A boat travels 70 km. The angle from its course to a harbor is 50°....
Which situation can produce exactly one right triangle under SSA?
A plane knows two sides and a non-included angle. Which law is used?
If SSA produces an obtuse angle and the given angle is acute, what...
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