Triangle Trigonometry Worksheets Grade 11

1. Olivia is a land surveyor mapping a triangular plot of land. She measures two sides of the triangle as 50 meters and 70 meters, and the angle opposite the 50-meter side is 35 degrees. Olivia needs to determine whether this configuration results in one possible triangle, two possible triangles, or no triangle at all to proceed with her survey. What is the nature of this triangle configuration?
2. In triangle Mere, side a = 16, side b = 22, and angle C = 48°. Find side c.
3. sin(3π/4)cos(π/4) + cos(3π/4)sin(π/4) = ?

…and 4 more problems

1. Aroha is standing at a point on a cliff edge, observing two boats on the ocean. The boats are located at points B and C, and Aroha's position is point A. The distance from Aroha to boat B is 45 meters, and the distance from Aroha to boat C is 60 meters. The angle between the lines of sight to the two boats is 52 degrees. Find the distance between the two boats, correct to the nearest meter.
2. sin(π/4)cos(π/12) + cos(π/4)sin(π/12) = ?
3. In triangle ABC, side a = 16, side b = 11, and angle C = 60°. Find side c.

…and 5 more problems

1. Emma is designing a triangular garden plot. She measures two sides of the triangle as 9 m and 13 m. The angle between these two sides is 41 degrees. She wants to know the length of the third side. Using the Law of Cosines, calculate the length of the third side, correct to the nearest metre.
2. Sophia is an architect designing a triangular skylight for a modern building. She knows that one side of the triangle measures 26 feet, another side measures 31 feet, and the angle opposite the 31-foot side is 61 degrees. Before finalizing the design, Sophia must determine whether these measurements will form exactly one triangle, two possible triangles, or no triangle at all. How many distinct triangles can be formed with these given measurements?
3. sin(π/3) + cos(π/6) = ?

…and 4 more problems