Geometry Choice Board

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Across
  1. 3. In a right triangle XYZ, XY = 8 and the measure of angle X = 50. What is the measure of YZ to the nearest tenth?
  2. 6. C squared = a squared + b squared - 2abcosC
  3. 9. If sin(x+20) = cos x, then the value of x is ______
  4. 11. In right triangle ABC, angle C = 90, If Cos B= 8/15, which function also equals 8/15
  5. 13. A 35-foot tall support post leans against a wall, making a 60-degree angle with the ground. To the nearest tenth of a foot, how far up the wall will the support post reach?
  6. 14. In right triangle ABC, AB = 20 and BC = 15, What is the measure of angle A to the nearest whole number?
  7. 17. Law of tan ratio
  8. 19. What is sin50 in decimal form to the nearest hundredth?
  9. 20. What is the formula for a triangle?
Down
  1. 1. The angle of elevation from a point 35 feet from the base of a cellphone tower on level ground to the top of the tree is 25 degrees. What equation can be used to find the height of the cellphone tower?
  2. 2. The rocket club launched a rocket straight into the sky. The rocket’s peak was 35 feet and they were 10 feet away watching. What is the angle of elevation from the observers to the nearest degree?
  3. 4. In right triangle XYZ, if the measure of angle C = 90 and sin X = 2/6, Cos B is equal to ___
  4. 5. What is the formula for a parallelogram?
  5. 7. A over sin of a = b over sin of b = c over sin of c
  6. 8. Law of cosines ratio
  7. 10. In the accompanying diagram of right triangle ABC, BC = 16 and angle C = 25. Which single function could be used to find AB?
  8. 12. Standing on the gallery of a lighthouse, a person spots a cruise ship at an angle of depression of 30 degrees. The lighthouse is 35 meters tall and sits on a 20-meter tall cliff as measured from sea level. What is the horizontal distance, rounded to the nearest meter, between the lighthouse and the ship?
  9. 15. A phone company is putting in a new tower in that is 40 feet tall, A ground wire from the top of the tower to the bottom is 60 feet long. What is the angle the wire makes with the ground, to the nearest degree?
  10. 16. A building casts a shadow 65 feet long on the ground, when the angle of elevation of the Sun is 30 degrees. How tall is the building, to the nearest foot?
  11. 18. Law of sins ratio