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Dimensions of a triangular plot The angle at one corner of a triangular plot of ground is 96°, and the sides that meet at this corner are 58 and 82 feet long

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Dimensions of a triangular plot The angle at one corner of a triangular plot of ground is 96°, and the sides that meet at this corner are 58 and 82 feet long. Approximate to the nearest foot the length of the third side. a = 96, b = 58',c= 82' ? 58 a A 82 B Side a (4) 20. Approximate to the nearest square foot the area of triangle ABC. a = 17 feet, b= 19 feet, c= 26 feet ? 19 17 A 26 B Area = (4) Page 7 of 8 Bonus 1: For two points what was my title at INDOT and how long did I work for INDOT. Title: (1) Years of Service: (1) 11. Tree height A giant redwood tree casts a shadow 510 feet long. Find the height of the tree if the angle of elevation of the sun is 25°. Approximate your answer to the nearest foot. Show all your work. Sun Tree A B 510 (4) Page 4 of 8 12. Verify the identity by transforming the left side of the equation into the right side. Show all your steps. csc 0-sin = cot cos (4) 13. Find the exact radian solutions for all which are solutions of the equation. V3 + 2 cos 3B =0 (4) 14. Use the quadratic formula to solve for the solutions of the equation in the interval [0°,360º). Approximate the solutions to the nearest 0.1º. cos2 x - 3 cos x-1=0 (4) 15. If sin a exact value for sin(a + b). i, and cos B = fî for a second-quadrant angle a and a third-quadrant angle ß, find the (4) 16. Find the exact radian solutions of the equation in the interval (0,27). cos 20 = 5 cos 0-3 (4) 17. Without using your calculator, find the exact value of the expression. Show all your work. sin 2 cos (4) Page 6 of 8 18. Approximate to one decimal place the length of side b of the triangle ABC given: a=11°, y = 62°, a = 25.1 ? A B Side b = (4) Bonus 1: For two points what was my title at INDOT and how long did I work for INDOT. Title: (1) Years of Service: (1) Bonus 2: For two points each Solve the given triangle for Side c and give the area of the triangle using Heron's Formula. Give side c to the nearest foot and the area to the nearest square foot. ? y =69° 30'46" Side c = (2) Y b = 250 a = 275 Area (2) A B