DF GD 5.4.3 Practice_ Applications of Trigonometry 5.4.3Practice:Applications of TrigonometryPractice Precalculus Sem 2 Points Possible:50 Answer the following questions using what you've learn... ed from this unit. Write your responses in the space provided. 1. Find the length of a. (2 points) 2. Find the missing side length. (2 points) For questions 3 - 4, assume the triangle has the given measurements. Solve for the remaining sides and angles. (3 points each) 3. The remaining side is 0.62 4. The remaining side is 20.95 For questions 5 - 6, solve for the remaining angles. (3 points each) 5. Angle A=33.54 degrees Angle B=115 degrees Angle C=31.46 degrees 6. 7. Viewed from Earth, two stars form an angle of 76.04 . Star A is 23.30 light-years from Earth, and Star B is 34.76 light-years from Earth. Sketch a diagram modeling this situation and find how many light-years the stars are from each other. (3 points) Stars A and B are 36.89 light-years apart Questions 8 - 10, deal with the ambiguous SSA case. For each, find all possible solutions and sketch the triangle(s) in each case. (3 points each) 8. A = 50 , a = 15, b = 12 9. A = 50 , a = 10, b = 15 10. A = 47 , a = 1.6, b = 2 solution 1: angle B = 66.09 degrees, angle C = 66.91 degrees, c = 2.01 solution 2: angle B = 113.91 degrees, angle C = 19.09 degrees, c = 0.72 For questions 11 - 14, solve the given triangles by finding the missing angle and other side lengths. (3 points each) 11. Angle B=22 degrees 14. Angle B=28 degrees 15. Compute the following linear combinations. (3 points) a. Compute . (1 point) b. Compute the unit vectors in the direction of . (1 point) c. Draw and label v1, v2, . (1 point) 17. let v1 = (-6, 4) and v2 = (-3, 6). Compute the following. a. (1 point) b. The angle between . (1 point) c. The scalar projection of v1 onto v2. (1 point) d. The projection of v1 onto v2. (1 point) [Show More]
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