Textbook Question
Use the law of sines to prove that each statement is true for any triangle ABC, with corresponding sides a, b, and c.
(a - b)/(a + b) = (sin A - sin B)/(sin A + sin B)
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7. Non-Right Triangles
Law of Sines
Back7. Non-Right Triangles
Law of Sines
- Textbook Question
A balloonist is directly above a straight road 1.5 mi long that joins two villages. She finds that the town closer to her is at an angle of depression of 35°, and the farther town is at an angle of depression of 31°. How high above the ground is the balloon?
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551views - Textbook QuestionIn Exercises 1–8, solve each triangle. Round lengths of sides to the nearest tenth and angle measures to the nearest degree.358views
- Textbook QuestionIn Exercises 1–8, solve each triangle. Round lengths of sides to the nearest tenth and angle measures to the nearest degree.362views
- Textbook QuestionIn Exercises 1–8, solve each triangle. Round lengths of sides to the nearest tenth and angle measures to the nearest degree.370views
- Textbook QuestionIn Exercises 1–8, solve each triangle. Round lengths of sides to the nearest tenth and angle measures to the nearest degree.388views
- Textbook QuestionIn Exercises 41–42, find a to the nearest tenth.555views
- Textbook QuestionIn Exercises 45–46, find the area of the triangle with the given vertices. Round to the nearest square unit.(-2, -3), (-2, 2), (2, 1)520views
- Textbook QuestionIn Exercises 1–12, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state 'no triangle.' If two triangles exist, solve each triangle.B = 107°, C = 30°, c = 126495views
- Textbook QuestionIn oblique triangle ABC, A = 34°, B = 68°, and a = 4.8. Find b to the nearest tenth.532views
- Textbook QuestionIn Exercises 13–16, find the area of the triangle having the given measurements. Round to the nearest square unit.C = 42°, a = 4 feet, b = 6 feet540views
- Textbook QuestionIn Exercises 39–40, find h to the nearest tenth.589views
- Textbook Question
Fill in the blank(s) to correctly complete each sentence.
A triangle that is not a right triangle is a(n) _________ triangle.
664views - Textbook Question
Consider each case and determine whether there is sufficient information to solve the triangle using the law of sines.
Three sides are known.
607views - Textbook Question
A ship is sailing due north. At a certain point the bearing of a lighthouse 12.5 km away is N 38.8° E. Later on, the captain notices that the bearing of the lighthouse has become S 44.2° E. How far did the ship travel between the two observations of the lighthouse?
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