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1-which of the following pairs...

1-which of the following pairs of angles are coterminal?

a- 100 degree and 620 degree

b- 25 degree and -25 degree

c- 390 degree and 60 degree

d- 30 degree and 60 degree

2- a stairway must be built to a deck that is 20 feet above ground level. to the nearest half foot, how far from the base of the deck, on ground level, should the beginning of the stairway be placed so that the sairway forms a 60 degree angle from the ground?

a- 11ft

b- 35 ft

c- 11.5 ft

d. 12 ft

3- a 16 foot ladder on ground level is leaning against a house. if the base of the ladder is placd 5.0 feet from the house, what is the angle formed at the top of the ladder?

a- 20 degree

b-18 degree

c- 72 degree

d- 24 degree

4- which angle measure is consistent with all of the following criteria?

(i) the referenc angle is 40 degree

(ii) the angl is more than one revolution

(iii) the angle's terminal side is in quadrant II

(iv) the angle isn't positive.

a. -580 degree

b. 500 degree

c. - 500 degree

d. -220 degree

5. a surveyor must divert her path from point C by proceeding due south for 300 ft to point A. the surveyor determines that point B, which is due east of point C, is N49 degree E from point A. what is the distance from point C to point B?

a. 360 ft

b. 370 ft

c. 350 ft

d. 375 ft

6. a 6.00-foot person is casting a shadow of 4.20feet. what time of the morning is it if the sun rose at 6:15 AM and will be directly overhead at 12:15 PM?

a. 9:55AM

b. 8:58 AM

c. 9:40 AM

d. 8:35 AM

7. a right angle side a has 20 side b has 5x-10 and the hypotenes is 2x root 5 find the value of x.

a. x=10

b. x=12

c. x=16

d. x=15

8.solar panels are used to convert energy from the sun into electricity. to get the best result, the panel has to be perpendicular to th sun's rays; in other words, angle theta has to be a right angle. what should the height, h , be if theta ia a right angle, a solar panel is 12 ft long, and the sun's angle of elevation is 38 degree?

a. 9.5 ft

b.9.4 ft

c. 7.4 ft

d. 15.4 ft

9. how many degrees does earth turn during an eight-hour school day?( assume that earth makes one revolution every 24 hours.)

a. 8 degree

b. 3 degree

c. 120 degree

d. 90 degree

10. find the height of the barrington space needle if the angle measure from the ground 1000 ft(measured to the nearest foot) from the point on the ground directly below the top of the needle is 58.15 degree.

a. 1,610 ft

b. 527.7 ft

c. 1,895 ft

d. 621.2 ft

11. a wheel 5.00 ft in diameter rolls up a 15.0 degree incline. how far above the base of the incline is the top of the wheel after the wheel has completed one revolution?

a. 4.07 ft

b. 9.07 ft

c. 8.13 ft

d. 13.1 ft

12. in a right triangle with gamma the right angle, b=86.5 and c=125.8. what is beta?

a. 46.6 degree

b. 43.2 degree

c. 43.4 degree

d. 46.4 degree

13. in the triangle with gamma=90 degree, beta= 57.4 degree, and a=70.0 which of the following measures is not correct? ( hint: solve the triangle)

a. alpha= 32.6 degree

b. c=130

c. c=134

d. b=109

14.if a tree casts a shadow of 12 ft at the same time that a 6 foot person casts a shadow of 2.5 feet, what is the length of the tree to th nearest foot?

a. 29 ft

b. 24 ft

c. 5 ft

d. 22 ft

15. a carpenter wants to be sure that the corner of a building is square and measures 6.0 ft and 8.0 ft along the sides. how long should the diagonal be?

a. 14 ft

b. 12 ft

c. 11 ft

d. 10 ft

16. find the numerical measure of the largest angle of a triangle whose angle measures are 6x-10 degree, 3x + 30 degree, and 2(45 degree - x).

a. 50 degree

b. 60 degree

c. 10 degree

d. 70 degree

17. sketch the angle 2pie/3

18. find the reference angle of -11pie/3

19. if theta = -18 degree, find the exact value of theta in radians

20. if theta =3, find the value of theta in degrees correct to th nearest tenth of a degree.

21. write the following degrees radian. a- 3o degree b. 60 degree c. 360 degree and d. 180 degree

22. write the following radians degree. a. pie/4 b. pie/2 c. 3pie/2

23 the radius of a circle is 6 inches. if the central angl is 5pie/3, find the length of the intercepted arc. ( round to the nearest hundredth)

24. at 2:00 PM the angle between the hour and minute hands on a clock is 60 degree(approximately 1.05 radians). the arc length formed by the two hands is 2.63 inches. what is the radius of the clock in inches? ( round to the nearest tenth.)

25. a pulley with radius of 8 inches rotates three times every five seconds. find the angular velocity of the pulley in radians/sec ( round to the nearest hundredth). find the linear velocity to th nearst ft/hr.

26. the earth travels in a circular orbit around the sun at 29.79 km/sec. if the radius of the orbit is 1.496 times 10 the power of 8 km, what is the angular velocity in radians/sec? (round to three significant digits.)

25. let theta be an angle in standard position and the point(a, b) be the point of intersection of the terminal side of theta with the unit circle. stare the unit circle definitions of the six trigonome

a- 100 degree and 620 degree

b- 25 degree and -25 degree

c- 390 degree and 60 degree

d- 30 degree and 60 degree

2- a stairway must be built to a deck that is 20 feet above ground level. to the nearest half foot, how far from the base of the deck, on ground level, should the beginning of the stairway be placed so that the sairway forms a 60 degree angle from the ground?

a- 11ft

b- 35 ft

c- 11.5 ft

d. 12 ft

3- a 16 foot ladder on ground level is leaning against a house. if the base of the ladder is placd 5.0 feet from the house, what is the angle formed at the top of the ladder?

a- 20 degree

b-18 degree

c- 72 degree

d- 24 degree

4- which angle measure is consistent with all of the following criteria?

(i) the referenc angle is 40 degree

(ii) the angl is more than one revolution

(iii) the angle's terminal side is in quadrant II

(iv) the angle isn't positive.

a. -580 degree

b. 500 degree

c. - 500 degree

d. -220 degree

5. a surveyor must divert her path from point C by proceeding due south for 300 ft to point A. the surveyor determines that point B, which is due east of point C, is N49 degree E from point A. what is the distance from point C to point B?

a. 360 ft

b. 370 ft

c. 350 ft

d. 375 ft

6. a 6.00-foot person is casting a shadow of 4.20feet. what time of the morning is it if the sun rose at 6:15 AM and will be directly overhead at 12:15 PM?

a. 9:55AM

b. 8:58 AM

c. 9:40 AM

d. 8:35 AM

7. a right angle side a has 20 side b has 5x-10 and the hypotenes is 2x root 5 find the value of x.

a. x=10

b. x=12

c. x=16

d. x=15

8.solar panels are used to convert energy from the sun into electricity. to get the best result, the panel has to be perpendicular to th sun's rays; in other words, angle theta has to be a right angle. what should the height, h , be if theta ia a right angle, a solar panel is 12 ft long, and the sun's angle of elevation is 38 degree?

a. 9.5 ft

b.9.4 ft

c. 7.4 ft

d. 15.4 ft

9. how many degrees does earth turn during an eight-hour school day?( assume that earth makes one revolution every 24 hours.)

a. 8 degree

b. 3 degree

c. 120 degree

d. 90 degree

10. find the height of the barrington space needle if the angle measure from the ground 1000 ft(measured to the nearest foot) from the point on the ground directly below the top of the needle is 58.15 degree.

a. 1,610 ft

b. 527.7 ft

c. 1,895 ft

d. 621.2 ft

11. a wheel 5.00 ft in diameter rolls up a 15.0 degree incline. how far above the base of the incline is the top of the wheel after the wheel has completed one revolution?

a. 4.07 ft

b. 9.07 ft

c. 8.13 ft

d. 13.1 ft

12. in a right triangle with gamma the right angle, b=86.5 and c=125.8. what is beta?

a. 46.6 degree

b. 43.2 degree

c. 43.4 degree

d. 46.4 degree

13. in the triangle with gamma=90 degree, beta= 57.4 degree, and a=70.0 which of the following measures is not correct? ( hint: solve the triangle)

a. alpha= 32.6 degree

b. c=130

c. c=134

d. b=109

14.if a tree casts a shadow of 12 ft at the same time that a 6 foot person casts a shadow of 2.5 feet, what is the length of the tree to th nearest foot?

a. 29 ft

b. 24 ft

c. 5 ft

d. 22 ft

15. a carpenter wants to be sure that the corner of a building is square and measures 6.0 ft and 8.0 ft along the sides. how long should the diagonal be?

a. 14 ft

b. 12 ft

c. 11 ft

d. 10 ft

16. find the numerical measure of the largest angle of a triangle whose angle measures are 6x-10 degree, 3x + 30 degree, and 2(45 degree - x).

a. 50 degree

b. 60 degree

c. 10 degree

d. 70 degree

17. sketch the angle 2pie/3

18. find the reference angle of -11pie/3

19. if theta = -18 degree, find the exact value of theta in radians

20. if theta =3, find the value of theta in degrees correct to th nearest tenth of a degree.

21. write the following degrees radian. a- 3o degree b. 60 degree c. 360 degree and d. 180 degree

22. write the following radians degree. a. pie/4 b. pie/2 c. 3pie/2

23 the radius of a circle is 6 inches. if the central angl is 5pie/3, find the length of the intercepted arc. ( round to the nearest hundredth)

24. at 2:00 PM the angle between the hour and minute hands on a clock is 60 degree(approximately 1.05 radians). the arc length formed by the two hands is 2.63 inches. what is the radius of the clock in inches? ( round to the nearest tenth.)

25. a pulley with radius of 8 inches rotates three times every five seconds. find the angular velocity of the pulley in radians/sec ( round to the nearest hundredth). find the linear velocity to th nearst ft/hr.

26. the earth travels in a circular orbit around the sun at 29.79 km/sec. if the radius of the orbit is 1.496 times 10 the power of 8 km, what is the angular velocity in radians/sec? (round to three significant digits.)

25. let theta be an angle in standard position and the point(a, b) be the point of intersection of the terminal side of theta with the unit circle. stare the unit circle definitions of the six trigonome

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