100 200 300 400 7.1b7.27.37.4 Trigonometry 7.1 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600 100 200 300 400 500 600.

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Presentation transcript:

b Trigonometry Credits

Answer Solve for x: 3 3 x 45

Answer Solve for x: 5 5 x 45

Answer Solve for x and y: x y 8 45

Answer Solve for x and y: x y 7 45

Answer Solve for x and y: x y 8 45

Answer Find the length of the diagonal of a square that has an area of 25in²

Answer- 100 Answer Answer: Solve for x: 3 3 x 45

Answer- 200 Answer Answer: Solve for x: 5 5 x 45

Answer- 300 Answer Answer: x = 8, y = 8 Solve for x and y: x y 45 8

Answer- 400 Answer Answer: x = y = Solve for x and y: x y 7 45

Answer- 500 Answer Answer: x = y = Solve for x: x y 8 45

Answer- 600 Answer Answer: in Find the length of the diagonal of a square that has an area of 25in²

Answer Solve for x and y: y 2 x

Answer Solve for x and y: y 5 x

Answer Solve for x and y: y x 6

7.2 – 400 Daily Double– 400 Daily Double Answer Solve for x and y: y x 36

Answer Solve for x and y: x y

Answer Find the length of the altitude of an equilateral triangle with sides of 10 inches.

Answer Answer Answer: x = 4, y =2 Solve for x and y: y 2 x

Answer Answer Answer: x = 10, y = 5 Solve for x and y: y 5 x

Answer Answer Answer: x = 3, y = Solve for x and y: y x 6

Answer Daily Double Answer Daily Double Answer: x = 18, y = Solve for x and y: y x 36

Answer- 500 Answer Answer: x = 7, y = 14 Solve for x and y: x y

Answer- 600 Answer Answer: Find the length of the altitude of an equilateral triangle with sides of 10 inches.

7.3 – 100– 100 Answer Find tanA A B C 3 4 5

Answer Find tanB A B C 3 4 5

7.3 – 300 – 300 Answer Solve for x: x 12 40

Answer Solve for x: 40 x 70

Answer Solve for x: 40 x 10

Answer Given a right triangle, if the side adjacent to a 23° angle is 10 inches, find the length of the opposite side.

Answer- 100 Answer Answer: tanA = 3/4 Find tanA A B C 3 4 5

Answer- 200 Answer Answer: tan B = 4/3 Find tanB A B C 3 4 5

Answer- 300 Answer Answer: x = Solve for x: x 12 40

Answer- 400 Answer Answer: x = Solve for x: 40 x 70

Answer- 500 Answer Answer: 14.04° Solve for x: 40 x 10

Answer Answer Answer: 4.2 in Given a right triangle, if the side adjacent to a 23° angle is 10 inches, find the length of the opposite side.

Answer Find the sinA A B C 3 4 5

Answer Find the cos B A B C 3 4 5

Answer Solve for x: 59 x 28

Answer Solve for x: 72 x 40

Answer Solve for x: x 5 23

7.4 – 600 Daily Double– 600 Daily Double Answer Jamie is flying a kite. She let out 40 ft of string and the kite is 28 ft off of the ground. What is the angle of elevation?

Answer- 100 Answer Answer: 3/5 Find the sinA A B C 3 4 5

Answer- 200 Answer Answer: 3/5 Find the cosB A B C 3 4 5

Answer Answer: x = 24 Solve for x: 59 x 28

Answer- 400 Answer Answer: x = Solve for x: 72 x 40

Answer- 500 Answer Answer: x = 12.6° Solve for x: x 5 23

Answer Daily Double- 600 Answer Daily Double Answer: 44.4° Jamie is flying a kite. She let out 40 ft of string and the kite is 28 ft off of the ground. What is the angle of elevation?

Answer A hot air balloon over Park City, UT is 760 feet above the ground. The angle of depression from the balloon to an observer is 5.25°. Assuming the ground is flat, how far is the observer from the point on the ground directly under the balloon?

Daily Double- 200 Daily Double Answer The angle of elevation of a space shuttle from Cape Canaveral is 17° when the shuttle is directly over a ship 12 miles downrange. What is the altitude of the shuttle when it is directly over the ship?

Answer A ranger spots a fire from a 73 foot tower in Yellowstone National park. She measures the angle of depression to be 15°. How far is the fire from the tower?

Answer The angle of elevation of the top of the Ulm Cathedral from a point 300 feet away from the base of the steeple on level ground is 60°. Find the height of the cathedral.

Answer A ramp leading up to a freeway overpass is 470 ft long and rises 32 ft. What is the average angle of inclination of the ramp to the nearest tenth of a degree?

Answer The angle of depression is 19° from a point 7256 ft above sea level on the north rim of the Grand Canyon level to a point 6159 ft above sea level on the south rim. How wide is the canyon at that point?

Answer- 100 Answer Answer: ft A hot air balloon over Park City, UT is 760 feet above the ground. The angle of depression from the balloon to an observer is 5.25°. Assuming the ground is flat, how far is the observer from the point on the ground directly under the balloon?

Daily Double Answer- 200 Daily Double Answer Answer: 3.7 miles The angle of elevation of a space shuttle from Cape Canaveral is 17° when the shuttle is directly over a ship 12 miles downrange. What is the altitude of the shuttle when it is directly over the ship?

Answer- 300 Answer Answer: ft A ranger spots a fire from a 73 foot tower in Yellowstone National park. She measures the angle of depression to be 15°. How far is the fire from the tower?

Answer- 400 Answer Answer: ft The angle of elevation of the top of the Ulm Cathedral from a point 300 feet away from the base of the steeple on level ground is 60°. Find the height of the cathedral.

Answer- 500 Answer Answer: 3.9 ft A ramp leading up to a freeway overpass is 470 ft long and rises 32 ft. What is the average angle of inclination of the ramp to the nearest tenth of a degree?

Answer- 600 Answer Answer: ft The angle of depression is 19° from a point 7256 ft above sea level on the north rim of the Grand Canyon level to a point 6159 ft above sea level on the south rim. How wide is the canyon at that point?

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Answer Answer: Verify: Use Pythagorean identity