Student Practice: 6.2 Trigonometric...
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Name: ___________________________________ Date: ________________ Pd: _______ Student Practice: 6.2 Trigonometric Applications Practice: Given the triangle below, find the side c with the given conditions. 1. cos 12 13 ;b=39 2. sin C= 3 4 ;b=12 3. tan A= 5 12 ;a=15 4. sec A=2 ;b=8 5. cot A=6 ;a=1.4 6. cscC=1.5 ;b=4.5 Find the angle Ɵ. 7. 8. 9. 10. Solve the right triangle with the given conditions. 11. b=10 ;C=50 ° 12. c=12 ;C=37 ° 13. a=6 ;A=14 ° 14. a=8 ;A=40 ° Solve the following problems with the given conditions. 15. A 24-foot ladder positioned against a wall forms an angle of 75 o with the ground. 6.2 Trigonometric Application Page 1 Week 3.1
Transcript of Student Practice: 6.2 Trigonometric...
Name: ___________________________________ Date: ________________ Pd: _______Student Practice: 6.2 Trigonometric Applications
Practice:
Given the triangle below, find the side c with the given conditions.
1. cos 1213;b=39
2. sinC=34;b=12
3. tan A= 512;a=15
4. sec A=2 ;b=85. cot A=6 ;a=1.46. cscC=1.5 ;b=4.5
Find the angle Ɵ.
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Solve the right triangle with the given conditions.
11. b=10 ;C=50°12. c=12 ;C=37 °
13. a=6 ; A=14°14. a=8 ; A=40 °
Solve the following problems with the given conditions.
15. A 24-foot ladder positioned against a wall forms an angle of 75o with the ground.a. How high up the wall does the ladder reach?b. How far is the base of the ladder from the wall?
16. A plane takes off a t an angle of 5o. After raveling 1 mile along this flight path, how high (in feet) is the pane above the ground? (1 mi = 5280 ft)
6.2 Trigonometric Application Page 1Week 3.1
Name: ___________________________________ Date: ________________ Pd: _______Student Practice: 6.2 Trigonometric Applications
17. The Ohio Turnpike has a maximum uphill slope of 3o. How long must a straight up hill segment of the road be in order to allow a vertical rise of 450 feet?
18. Ruth is flying a kite. Her hand is 3 feet above the ground level and is holding the end of a 300 foot kite string, which makes an angel of 57o with the horizontal. How high is the kite above the ground?
19. Suppose that a person with a reach of 27 inches and shoulder height of 5 feet is standing upright on a mountainside that makes a 62o angle with the horizontal, as shown in the figure below. Can the person touch the mountain?
20. A plane flies a straight course. On the ground directly below the flight path, observers 2 miles apart spot the plan at the same time. The plane’s angle of elevation is 46o from one observer and 71o from the other. How high is the plane?
Challenge Plus:
Find the length x to the nearest whole number.
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6.2 Trigonometric Application Page 2Week 3.1
Name: ___________________________________ Date: ________________ Pd: _______Student Practice: 6.2 Trigonometric Applications
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Practice:
1. c = 362. c = 93. c = 364. c = 4 5. c = 8.46. c = 37. 48.59o
8. 33.56o
9. 48.19o
10. 46.05o
11.12.13.14.15. 23.18 feet; 6.21 feet16. 460.2 feet17. 8598.3 feet18. 254.6 feet19. No20. 1.53 miles
Challenge Plus:
21. 65322. 5023. 3924. 123
6.2 Trigonometric Application Page 3Week 3.1
