Multiple ChoiceUse the Law of Sines to find the angle BBB to the nearest tenth of a degree.95views1rank
Multiple ChoiceAn engineer wants to measure the distance to cross a river. If B=30°B=30\degreeB=30°, a=300a=300a=300ftftft, C=100°C=100\degreeC=100° find the shortest distance (in ftftft) you’d have to travel to cross the river.100views
Textbook QuestionApply the law of sines to the following: a = √5, c = 2√5, A = 30°. What is the value of sin C? What is the measure of C? Based on its angle measures, what kind of triangle is triangle ABC?144views
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. C = 50°, a = 3, c = 1193views
Textbook QuestionFill in the blank(s) to correctly complete each sentence.A triangle that is not a right triangle is a(n) _________ triangle.142views
Textbook QuestionConsider each case and determine whether there is sufficient information to solve the triangle using the law of sines.Three sides are known.135views
Textbook QuestionWhich one of the following sets of data does not determine a unique triangle?a. A = 50°, b = 21, a = 19b. A = 45°, b = 10, a = 12c. A = 130°, b = 4, a = 7d. A = 30°, b = 8, a = 4143views
Textbook QuestionUse the law of sines to find the indicated part of each triangle ABC.Find b if C = 74.2°, c = 96.3 m, B = 39.5124views
Textbook QuestionFind the unknown angles in triangle ABC for each triangle that exists.A = 29.7°, b = 41.5 ft, a = 27.2 ft200views
Textbook QuestionFind the unknown angles in triangle ABC for each triangle that exists.C = 41° 20', b = 25.9 m, c = 38.4 m189views
Textbook QuestionFind the unknown angles in triangle ABC for each triangle that exists.B = 74.3°, a = 859 m, b = 783 m175views
Textbook QuestionFind the unknown angles in triangle ABC for each triangle that exists.A = 142.13°, b = 5.432 ft, a = 7.297 ft161views
Textbook QuestionUse the law of sines to find the indicated part of each triangle ABC.Find B if C = 51.3°, c = 68.3 m, b = 58.2 m175views
Textbook QuestionTo find the distance AB across a river, a surveyor laid off a distance BC = 354 m on one side of the river. It is found that B = 112° 10' and C = 15° 20'. Find AB. See the figure.<IMAGE>239views
Textbook QuestionTo determine the distance RS across a deep canyon, Rhonda lays off a distance TR = 582 yd. She then finds that T = 32° 50' and R = 102° 20'. Find RS. See the figure.<IMAGE>142views
Textbook QuestionA 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?308views
Textbook QuestionRadio direction finders are placed at points A and B, which are 3.46 mi apart on an east-west line, with A west of B. From A the bearing of a certain radio transmitter is 47.7°, and from B the bearing is 302.5°. Find the distance of the transmitter from A.189views
Textbook QuestionThe bearing of a lighthouse from a ship was found to be N 37° E. After the ship sailed 2.5 mi due south, the new bearing was N 25° E. Find the distance between the ship and the lighthouse at each location.339views
Textbook QuestionStanding on one bank of a river flowing north, Mark notices a tree on the opposite bank at a bearing of 115.45°. Lisa is on the same bank as Mark, but 428.3 m away. She notices that the bearing of the tree is 45.47°. The two banks are parallel. What is the distance across the river?159views
Textbook QuestionUse the law of sines to find the indicated part of each triangle ABC.Find b if a = 165 m, A = 100.2°, B = 25.0°158views
Textbook QuestionFind the area of each triangle using the formula 𝓐 = ½ bh, and then verify that the formula 𝓐 = ½ ab sin C gives the same result.<IMAGE>163views
Textbook QuestionDetermine the number of triangles ABC possible with the given parts.a = 50, b = 26, A = 95°246views
Textbook QuestionA painter is going to apply paint to a triangular metal plate on a new building. Two sides measure 16.1 m and 15.2 m, and the angle between the sides is 125°. What is the area of the surface to be painted?129views
Textbook QuestionA real estate agent wants to find the area of a triangular lot. A surveyor takes measurements and finds that two sides are 52.1 m and 21.3 m, and the angle between them is 42.2°. What is the area of the triangular lot?157views
Textbook QuestionDetermine the number of triangles ABC possible with the given parts.a = 31, b = 26, B = 48°183views
Textbook QuestionDetermine the number of triangles ABC possible with the given parts.c = 50, b = 61, C = 58°222views
Textbook QuestionIn Exercises 9–16, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. A = 56°, C = 24°, a = 22261views
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 = 37°, a = 12.4, b = 8.7121views
Textbook QuestionIn Exercises 9–16, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. A = 85°, B = 35°, c = 30196views
Textbook QuestionIn Exercises 9–16, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. B = 5°, C = 125°, b = 200224views
Textbook QuestionIn Exercises 9–16, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. B = 80°, C = 10°, a = 8337views
Textbook QuestionIn Exercises 17–32, two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. Round to the nearest tenth and the nearest degree for sides and angles, respectively. a = 30, b = 20, A = 50°146views
Textbook QuestionIn Exercises 17–32, two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. Round to the nearest tenth and the nearest degree for sides and angles, respectively. a = 57.5, c = 49.8, A = 136°154views
Textbook QuestionIn Exercises 17–32, two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. Round to the nearest tenth and the nearest degree for sides and angles, respectively. a = 6.1, b = 4, A = 162°209views
Textbook QuestionIn Exercises 17–32, two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. Round to the nearest tenth and the nearest degree for sides and angles, respectively. a = 10, b = 30, A = 150°178views
Textbook QuestionIn Exercises 17–32, two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. Round to the nearest tenth and the nearest degree for sides and angles, respectively. a = 30, b = 40, A = 20°210views
Textbook QuestionIn Exercises 17–32, two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. Round to the nearest tenth and the nearest degree for sides and angles, respectively. a = 7, b = 28, A = 12°151views
Textbook QuestionIn Exercises 17–32, two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. Round to the nearest tenth and the nearest degree for sides and angles, respectively. a = 95, c = 125, A = 49°174views
Textbook QuestionIn Exercises 17–32, two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results. Round to the nearest tenth and the nearest degree for sides and angles, respectively. a = 1.4, b = 2.9, A = 142°407views
Textbook QuestionIn Exercises 33–38, find the area of the triangle having the given measurements. Round to the nearest square unit. A = 22°, b = 20 feet, c = 50 feet218views
Textbook QuestionIn Exercises 33–38, find the area of the triangle having the given measurements. Round to the nearest square unit. B = 125°, a = 8 yards, c = 5 yards250views
Textbook QuestionIn Exercises 33–38, find the area of the triangle having the given measurements. Round to the nearest square unit. C = 102°, a = 16 meters, b = 20 meters243views
Textbook QuestionIn Exercises 43–44, use the given measurements to solve the following triangle. Round lengths of sides to the nearest tenth and angle measures to the nearest degree. a = 400, b = 300317views
Textbook QuestionIn each figure, a line segment of length L is to be drawn from the given point to the positive x-axis in order to form a triangle. For what value(s) of L can we draw the following?a. two triangles<IMAGE>201views
Textbook QuestionIn each figure, a line segment of length L is to be drawn from the given point to the positive x-axis in order to form a triangle. For what value(s) of L can we draw the following?b. exactly one triangle<IMAGE>127views
Textbook QuestionIn each figure, a line segment of length L is to be drawn from the given point to the positive x-axis in order to form a triangle. For what value(s) of L can we draw the following?c. no triangle<IMAGE>120views
Textbook QuestionWithout using the law of sines, explain why no triangle ABC can exist that satisfies A = 103° 20', a = 14.6 ft, b = 20.4 ft.187views
Textbook QuestionApply the law of sines to the following: A = 104°, a = 26.8, b = 31.3.What happens when we try to find the measure of angle B using a calculator?153views
Textbook QuestionUse 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)158views
Textbook QuestionA 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? <IMAGE>185views
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