TRIG

DefinitionsMissing Angle/Side Looking UP Looking DOWN

1. opp hyp

What is sine?

2. adj hyp

What is cosine?

3. opp adj

What is tangent?

? 4.

What is angle of elevation?

? 5.

What is angle of depression?

8 y = ? 6. 36°

y = 6.5

x°x°

x = 41.8°

8. 5 y = ? 50°

y = 7.8

x°x°

x = 18.4

y = ? 70°

y = 2.6

11. A tree 40 feet high casts a shadow 58 feet long. Find the measure of the angle of elevation.

35° 40 ft 58 ft x°x°

12. A ladder leaning against a house makes an angle of 60° with the ground. The foot of the ladder is 7 feet from the foundation of the house. How long is the ladder?

14 ft 7 ft x 60°

13. A balloon is 46 ft in the air from the ground and is being held 2.5 ft off the ground. It makes an angle of 50°. How long is the kite string to the nearest foot.

57 ft 46 ft x 50° 2.5 ft

14. A plane took off from the runway. When the plane had flown 2000 m, it had covered a horizontal distance of 1800 m. Find the measure of the angle to the nearest degree at which the plane rose from the ground.

26° 2000 m 1800 m x°x°

15. Sam is flying a kite on a 40-meter string. The angle of elevation of the kite measures 35°, and Sam’s hand is 1.8 m above the ground. How high was the kite off the ground?

24.7 ft 40 ft x 35° 1.8 ft

16. From the top of a tower, the angle of depression to a stake on the ground is 72°. The top of the tower is 80 feet about the ground. How far is the stake from the foot of the tower?

25.99 ft 80 ft x 72°

17. From the top of a tower 60 ft high, the angle of depression to an object on the ground is 35°. Find the distancefrom the object to the baseof the tower to the nearest foot.

86 ft 60 ft x 35°

18. A roller coaster at the top of a crest has an angle of depression of 26°. The horizontal distance of the coaster is 75 feet. What is the distance traveled by the coaster on the track to the nearest tenth of a foot?

83.4 ft 75 ft x 26°

19. Jonathan is at the top of a ski run and his friend Sam is at the bottom of the slope. The angle of depression is 13° and the horizontal distance to Sam is 2000 ft. What is the length of the ski run?

ft x 2000 ft 13°

20. Sally is in a 85 ft lighthouse on a 110 ft cliff. She observes 2 sailboats due east of the lighthouse. The angles of depression are 33° and 57°. Find the distance between the two sailboats to the nearest foot.

195 ft x 57° 174 ft y 195 ft 33° y - x

Final Jeopardy

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Mrs. Culbreth’s university for her BS.

What is Auburn University? War Eagle !!