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Math 10 GMF Exam Review Gemetry Unit - Chapters 7, 8 Multiple Chice 1. What is the tangent f 24? a c b d A carpet has side lengths f 3.2 m and 4.6 m. What is the distance

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Math 10 GMF Exam Review Gemetry Unit - Chapters 7, 8 Multiple Chice 1. What is the tangent f 24? a c b d A carpet has side lengths f 3.2 m and 4.6 m. What is the distance between ppsite crners f the carpet? a. 3.3 m c. 5.6 m b. 2.8 m d. 7.9 m 3. A park is 45 m lng by 30 m wide. When travelling between ppsite crners, hw much shrter is it t walk diagnally acrss the park instead f walking alng its sides? a. 26 m c. 51 m b. 54 m d. 21 m 4. The sine rati relates t which tw sides f a right triangle? a. The side ppsite a given angle and the hyptenuse. b. The side adjacent t a given angle and the hyptenuse. c. The side adjacent t a given angle and the ppsite side. d. The side adjacent t a given angle and the vertical side. 5. What is the sine f 19? a c b d A right triangle has a hyptenuse f 35 cm. If ne f the angles is 74, what is the length f the ppsite side? a cm c cm b cm d cm 7. A right triangle has an angle f 15 and the ppsite side is 28 cm. What is the length f the hyptenuse? a cm c cm b cm d cm 8. The csine rati relates t which tw sides f a right triangle? a. The side adjacent t a given angle and the vertical side. b. The side adjacent t a given angle and the hyptenuse. c. The side adjacent t a given angle and the ppsite side. d. The side ppsite a given angle and the hyptenuse. 9. What is the csine f 59? a c b d 10. A right triangle has a hyptenuse f 1.4 cm. If ne f the angles is 45, what is the adjacent side? a cm c cm b cm d. 2.2 cm 11. If a right triangle has a hyptenuse f 50 cm and an angle f 70, what is the length f the side adjacent t the given angle? a cm c cm b cm d cm 12. The tangent rati relates t which tw sides f a right triangle? a. The side adjacent t a given angle and the hyptenuse. b. The side adjacent t a given angle and the vertical side. c. The side ppsite a given angle and the adjacent side. d. The side ppsite a given angle and the hyptenuse. 13. A right triangle has an angle f 53. If the ppsite side is 6.4 cm lng, what is the length f the adjacent side? a. 4.0 cm c. 4.8 cm b. 8.5 cm d. 8.0 cm 14. What is sin -1 (0.28)? a c b d What is cs -1 (0.57)? a c b d What is tan -1 (1.03)? a c b d The hyptenuse f a right triangle is 20.8 cm and ne leg is 4.2 cm lng. What is the angle adjacent t the 4.2 cm side? a c b d The hyptenuse f a right triangle is cm and ne leg is cm lng. What is the angle ppsite t the cm side? a c b d Which pairs f angles are equal in this diagram? a. a = b, c = d, and e = f b. a = e, c = g, and b = f c. a = c, e = g, and f = h d. a = e, b = d, and c = g 20. In which diagram(s) is AB parallel t CD? a. Chice 1 nly b. Chice 2 nly c. Chice 1 and Chice 2 d. Neither Chice 1 nr Chice Which statement abut the angles in this diagram is false? a. b = 50 b. c = 50 c. e = 130 d. f = Which are the crrect measures f the indicated angles? a. w = 77, x =77, y = 103 b. w = 77, x =103, y = 103 c. w = 103, x =77, y = 77 d. w = 103, x =103, y = 77 Shrt Answer 1. The steps f a stepladder rise at an incline f 60. If the base f the ladder is 0.62 m lng, hw tall is the stepladder? 2. Will a pencil that is 15 cm lng fit int a pencil case that is 13 cm lng and 10 cm wide? 3. Slve fr the unknwn side length. 4. Slve fr the unknwn side length. 5.2 cm 9.4 cm 7.2 cm 6.4 cm 5. A right triangle has a hyptenuse f 24 m. If ne f the angles is 54, what is the length f the ppsite side? 6. A ladder 11 ft lng lwers men int a manhle at an angle f depressin f What is the depth f the manhle? 7. A muntain is 1300 m tall and its peak is 1774 m up the side f the hill. At what angle des the muntain rise? 8. Determine the measure f MNO. 9. Determine the unknwn angles. Prblem 1. The diagram t the right has the fllwing dimensins: a = 54 b = 38 cm c = 86 cm Find the lengths f x and y. 2. The diagram belw has the fllwing dimensins: A = 5 cm B = 4 cm Find the length f y. 3. Find x and y t ne decimal place, using sine ratis m 32 x 58 y 4. What are the lengths f x and y in the diagram t the right, given the fllwing dimensins? a = 30 b = 25 z = 30 cm 5. A new ramp is being built with an angle f elevatin f 10. If the height f the ramp is 2.5 m, what is the length f the base f the ramp? Math 10 GMF Exam Review Gemetry Unit - Chapters 7, 8 Slutins MULTIPLE CHOICE 1. ANS: D 2. ANS: C 3. ANS: D 4. ANS: A 5. ANS: D 6. ANS: A 7. ANS: D 8. ANS: B 9. ANS: B 10. ANS: A 11. ANS: C 12. ANS: C 13. ANS: C 14. ANS: A 15. ANS: C 16. ANS: D 17. ANS: C 18. ANS: B 19. ANS: B 20. ANS: D 21. ANS: A 22. ANS: C SHORT ANSWER 1. ANS: The stepladder is 1.1 m tall. 2. ANS: Calculate the diagnal fr the pencil case. Yes, the pencil will fit in the case. 3. ANS: The hyptenuse is 8.9 cm lng. 4. ANS: The side is 6.9 cm lng. 5. ANS: The length f the ppsite side is m. 6. ANS: The manhle is 9.7 m deep. 7. ANS: pp sina hyp A sin The muntain rises at an angle f ANS: MNO ANS: 53 CBA 47 DAE 47 ADC 129 BCD 51 ADE PROBLEM 1. ANS: Calculate the length f the bttm f the large triangle. x + b = x + b = 88.5 cm The measure f x is 50.5 cm and the measure f y is 64.6 cm. 2. ANS: The length f y is 8.12 cm. 3. ANS: Slve fr x using the 58.0 angle and the hyptenuse. Slve fr y using the 32.0 angle and the hyptenuse. The measure f x is 76.8 m and the measure f y is 48 m. 4. ANS: The measure f x is 27.2 cm and the measure f y is 34.6 cm. 5. ANS: The ramp s base is 14.2 m lng.

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