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**Trig. Jeopardy!**

**100**

y x

24

37

**Answer: x=19.2 y=14.4 **

**200**

y

62

16 x

**Answer: x=14.1 y=7.5**

**300**

18

54

y x

**Answer: x=24.8 y=30.6 **

**4**

**00**

*x*

25

16

**Answer:x=39.8**

**500**

•

**The angle of elevation from a sailboat to the top of a 145-foot lighthouse is 22 degrees. To the nearest foot, how far is the sailboat from the lighthouse?**

**Answer: 358.9 feet**

**100**

23 x y

28

**Answer: x=43.3 y=49.0 **

**200**

18

70

y x

**Answer: x=49.5 y=52.6 **

**300**

x

32

y

7

**Answer: x=11.2 y=13.2**

**Answer: x=59.1**

**400**

37

19

*x*

**500**

**Susan is flying a kite over her sister, **

**Karen, who is approximately 125 meters away. When she holds the kite string down to the ground, the string makes a 39 degree angle with the level ground. To the nearest meter, how high is Susan’s kite?**

**Answer: 101 meters**

**100**

18

70

y x

**Answer: x=28.7 y=31.9**

**200**

x

31

35 y

**Answer: x=58.2 y=68.0**

**.**

**300**

x

41

y

11

**Answer: x=12.7 y=16.8**

**.**

**Answer: x=56.5**

**400**

38

21

*x*

**.**

**500**

14

21

*x*

**Answer: x=33.7 **

.

**100**

15

63

y x

**Answer: x=29.4 y=33.0**

**200**

24

58

y x

**Answer: x=38.4 y=45.3**

**300**

**Evaluate the quotient of twice x and 5 to the nearest tenth.**

24

58

**Answer: (x=38.4) 15.4**

**400**

18

*x*

34

**Answer: 62.1**

**500**

**A salvage ship’s sonar locates wreckage at a 14 degree angle of depression. A diver is lowered 50 meters to the ocean floor. How far does the diver need to walk along the ocean floor to the wreckage?**

**Answer: 200.5 **

**100**

y x

38

21

**Answer: x=35.5 y=13.6**

**200**

33

72

y x

**Answer: x=101.6 y=106.8**

**300**

y x

34

13

**Answer: x=15.7 y=8.8 **

**400**

6

*x*

17

**Answer**

**: 70.6 **

**500**

**A meteorologist shines a spotlight vertically onto the bottom of a cloud formation. He then places an anglemeasuring device 60 meters from the spotlight and measures a 71 degree angle of elevation form the ground to the spot of light on the clouds. How high are the clouds?**

**Answer: 174.3 meters**

42

**100**

x y

38

**Answer: x=53.8 y=68.2 **

**200**

13

50

y x

**Answer: x=15.5 y=20.2**

**300**

y x

47

19

**Answer: x=27.9 y=20.4**

**400**

17

*x*

9

**Answer: 62.1**

**500**

**An air traffic controller must calculate the angle of decent (the angle of depression) for an incoming jet. The jet’s crew reports that their land distance is 44 km from the base of the control tower and that the plane is flying at an altitude of 4.8 km. Find the measure of the angle of decent to the nearest tenth of a degree.**

**Answer: 6.2 degrees**