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# Math

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### Math

1. 1. Extra Work No Credit1.In the triangle below, what is cos B?A.B.C.D.2. Given:
2. 2. A.B.C.D. 3. Which of the following can be used to determine mA?A.B.C.D. 4. What is mN to the nearest degree?A. 16°B. 17°C.63°D.73° 5. What is mX to the nearest degree?
3. 3. A. 34°B. 56°C.60°D.61° 6. Find mA. Round to the nearest tenth of a degree.A. 86.2°B. 48.7°C.41.3°D.33.4° 7. In the diagram shown, mB = 42° and AB = 25 feet. Which equation can be used to calculate the value of x?A. x = 25(sin 42°)B. x = 25(cos 42°)C.x = 25(tan 42°)D. 8. Calculate the value of a.
4. 4. A. 7.1B. 7C.14.2D.3.5 9. Luis is standing on a street in New York City looking at the top of the Empire State Building with a 30º angle of elevation. He is 767.6 meters from the Empire State Building. How tall is the Empire State Building?A. 383.8 metersB. 443.2 metersC.664.8 metersD.1329.5 meters 10. A 12-foot slide is attached to a swing set. The slide makes a 65º angle with the swing set. Which answer most closely represents the height of the top of the slide?A. 5.1 feetB. 5.6 feetC.10.9 feetD.25.7 feet 11. A guy wire is attached to the top of a tower that is 100 feet tall. The guy wire is attached to the ground 40 feet from the base of the tower. What is the angle of elevation formed by the guy wire and the ground to the nearest whole number of degrees?
5. 5. A. 24°B. 32°C.58°D.68° 12. Colin has a summer job shingling roofs. The crew has set up a ramp to send the bundles of shingles up to the roof. If the base of the ramp is 35 feet from the building and the angle between the ramp and the ground is 25 degrees, how long is the ramp?A. 82.8 feetB. 75 feetC.25.9 feetD.38.6 feet 13. Blake and Johnny are watching for their friend Allen from the top of their apartment building when they finally spot him. The building is 40 feet tall and the angle of depression is 22°. How far away from the base of the building is Allen?A. 43 feetB. 75 feetC.99 feetD.106 feet 14. Toby the cat is stuck in a tree. Billys dad placed a ladder 5 feet from the base of the tree and then leaned the ladder against the tree. The top of the ladder is right where Toby is sitting. If the ladder makes a 65° angle with the ground, how far up the tree is Toby the cat?
6. 6. A. 9.3 feetB. 10.7 feetC.11.8 feetD.13.6 feet 15. Write an equation that could be used to find the value of y.
7. 7. A.B.C.D. 16. Find the value of e.A. 17.2B. 12.7C.19.4D.14.9 17. If you are given the length of sides a and b and the , you can find the . Explain your answer.A. Yes. You can use the Law of Sines.B. No. You would need to know the mB or the length of side c to use the Law of Sines.C.Yes. You can use the Pythagorean Theorem.D.No. You would need to know the mB and the length of side c. 18. Find the if =33o and a=10.A. 23oB. 50oC.76oD.Not enough information given.
8. 8. 19. The Law of Sines can be used when you knowA. three angles of a triangle.B. two angles and the included side.C.three sides of a triangle.D.None of the above. 20. If the =98o, the =52o, and c=12, find the length of a.A. 12B. 10C.9D.15