The law of sines The law of sines says that if a, b, and c are the sides opposite the angles A, B, and C in a triangle, then sin B sin A sin C b a Use the accompanying figures and the identity sin( – 0) = sin 0, if required, to derive the law. A C - B B -

Q: he angle of a depress from a lighthouse to a boat in the water 14 degrees. If the boat is 532 feet…

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Q: Determine the case involved given the triangle: A = 70°, C = 10°, b = 5 cm O Case II O Case IV Case…

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Q: Using the Law of Sines to find a triangle with one obtuse angle if ZA = 47°, a = 27, b = 30. If no…

A: Sine rule :  sinA/a = sinB/b = sinC/c

Q: Using the Law of Sines to find a triangle with one obtuse angle if ZA = 45°, a = 22, b = 25. %3D If…

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Q: Using the Law of Sines to find a triangle with one obtuse angle if ZA = 50°, a = 32, 6 = 34. If no…

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Q: Triangle ABC is a right triangle and angle A is the right angle. Angle B is 35°, and side AB is 200…

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Q: 26. The terminal side of an angle e in standard position passes through the point (5, -12). What is…

A: Given point, (5,-12)

Q: Iwo wires are attached to the top of a billboard. One is in front of the billboard, is 100 m long…

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Q: 1 and a is an 3 Given that sin a = acute angle, find cot a cot a = 22 %3D cot a = 5 cot a = 3 cot a…

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Q: Using the Law of Sines to solve the triangle if a = 129 degrees, a = 33, b = 38. Round to two…

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Q: 111. Angles of a Triangle If A, B, and C are the angles in a tri- angle, show that sin 2A + sin 2B +…

A: Given that if A,B and C are the angles in a triangle, Our Aim is to showthat:-sin (2A)+sin (2B)+sin…

Q: Part A: If cos B what is sin a? sin a= Part B: What must be true about a and B7 a and B are…

A: Given that  Triangle is right angle triangle. Part (A)  Since, cos β=35ABBC=35 So, AB=3, BC=5 We…

Q: Determine the case involved given the triangle: B = 45°, A = 88°, a = 15" %3D Case III O Case I O…

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Q: 3 and sec B 5 =- for a third-quadrant angle a and a first-quadrant angle B, find the following. 4 If…

A: We have to find the angle

Q: Consider the right triangle shown. What are the values of sin x and cos x? a. sin x = 13 12 COS X =…

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Q: s bisects angle C. Use the law of sines to find a formula for s in terms of a, b and x. C a

A: Given: s bisects ∠C in the following figure.   The sine law of triangles is given by c=12a·b·sin C,…

Q: A 20° angle has a friend named Sine. What did the 70° angle say to the 20° angle? (a)Your friend is…

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Q: A, B and C are the angles of a triangle. (i) Show that tan C =- tan(A + B). %3D Angle A = 45° and…

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Q: 3. $A$ $ladder$ $is$ $placed$ $on$ $a$ $wall$ $and$ $makes$ $an$ $angle$ Sof 60° from$ $the$…

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Q: Using the Law of Sines to find a triangle with one obtuse angle if ZA = 48°, a = 23, b = 26. If no…

A: Given:

Q: A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8o when…

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Q: An observation tower is 75 meters high a support wire is attached to the tower 20 meters from the…

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Q: Three sides are known: Use the Law of Cosines to find any angle. Known measures: a, b, and c Desired…

A: Law of Cosine rule is a2=b2+c2-2bc cosα , where a,b,c are the sides of the triangle and α is the…

Q: Consider the right triangle shown. What are the values of sinx and cos x? 5 sin x 12 COS X = 13 a.…

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Q: Triangle FID is a right triangle with a right angle at I. Which of the following equations…

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Q: A boat is heading towards a lighthouse, whose beacon-light is 107 feet above the water. From point…

A: Given: Height of lighthouse, h=107 ft Angle of elevation of beacon from AA = 12o BB= 20o

Q: The side lengths for AABC below are a, b, and c. The height of AABC is h. Fill in the blanks using…

A: Part 1  Using trigonometric identities sinB=hc, sinC=hb   Part 2 Rewrite the equations from part 1…

Q: Radio Antenna: A guy wire is attached to the top of a radio antenna and to a point on horizontal…

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Q: Is the statement below true or false? Explain. The area of a triangle is one-half of the product of…

A: This question can be solved using the concept of trigonometry and area of triangle

Q: Using the Law of Sines to find a triangle with one obtuse angle if ZA = 49°, a = 33, b = 35. If no…

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Q: Using the Law of Sines to find a triangle with one obtuse angle if ∠A=49∘,a=24,b=25. If no answer…

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Q: 22. Which of the following is the first step in proving the law of cosines? Find the cosine of two…

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Q: Using the Law of Sines to solve the triangle if ZA = 41°, ZC = 73°, b = 22 LB is degrees a = C =…

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Q: 12. Given the triangle A ABC. Assume that angle A is opposite side a, angle B is opposite side b and…

A: We plug the values in the formula to find b

Q: The side lengths for AABC below are a, b, and c. The height of AABC is h. Fill in the blanks using…

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Q: George drew a perpendicular line from ∠C to the opposite side in the diagram below.   He then did…

A: George drew a perpendicular line from ∠C to the opposite side in the diagram. He found out that…

Q: Find the sine, cosne, and tangent of angle A Give your answer as a fraction in simplest form B. 16…

A: Given diagram: ABC is a right-angle triangle. Using Pythagoras theorem:…

Q: Using the Law of Sines to find all triangles if y 73.9°, c = 8, a = 8.03. Round to two decimal…

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Q: A radio tower is located 325feet from a building building a person determines that the angle of ele…

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Q: 22. A 22-foot ladder is resting against the side of a building. The bottom of the ladder is 3 feet…

A: Aim: To find  ∠ABC OR ∠θ.   Given: Length of ladder = 22 foot The bottom of the ladder is 3ft from…

Q: Using the Law of Sines to find a triangle with one obtuse angle if ∠A = 46degrees, a = 26, b = 29 If…

A: Topic =Triangles

Q: Using the Law of Sines to find a triangle with one obtuse angle if ZA == 46°, a = 31, 6 = 33. If no…

A: Given:  ∠A=46°, a=31, b=33  To Find:  ∠ B, ∠C and length of c

Q: 1. A ladder leans against a wall. The bottom of the ladder is 10 feet from the base of the wall, and…

A: Use sine theta to evaluate

Q: Determine the case involved given the triangle: B = 45°, a = 14", c = 15" O Case III O Case I O Case…

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Q: sitting in his boat and sees a famous building onshore which is known to be 200 meters tall.  Gabe…

A: Please refer to the image below

Q: Using the Law of Sines to find a triangle with one obtuse angle if ZA = 47°, a = 27, b = 30. If no…

A: Sine rule a / sin A = b / sin B = c / sin C.

Q: In which cases can the law of sines be used to solve a triangle? Choose from ASA, SAA, SSA, SSS, SAS…

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Q: The side lengths for AABC below are a, b, and C. The height of AABC is h, Fill in the blanks using…

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Q: A line is drawn through the vertex acute angle in a rhombus. This line divides an angle in the ratio…

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