8. An airplane pilot over the Pacific sights an atoll at an angle of depression of 5 degrees. At this time, the horizontal distance from the airplane to the atoll is 4,629 meters.
What is the height of the plane to the nearest meter?
A. 403 meters
B. 405 meters
C. 4,611 meters
D. 4,647 meters
9. To find the height of a pole, a surveyor moves 120 feet away from the base of the pole and then, with a transit 8 feet tall, measures the angle of elevation to the top of the pole to be 36 degrees. To the nearest foot, what is the height of the pole?
A. 87 feet
B. 95 feet
C. 71 feet
D. 79 feet
10. The length of the hypotenuse of a 30 degrees - 60 degrees - 90 degrees triangle is 18. What is the perimeter?
A. 9 + 27 √3
B. 18 + 81 √3
C. 27 + 9 √3
D. 81 + 9 √3
11. In triangle ΔDEF, m∠D = 45°, m∠E = 63°, and EF = 24 in. What is DE to the nearest tenth of an inch?
A. 30.2 in.
B. 15.1 in.
C. 32.3 in.
D. 10.5 in.
12. What is the measure of angle J in the triangle below? Drawing is not to scale.
(Picture shows a triangle JKL. L is 103°, LK is 11 and JK is 16)
A. 99°
B. 42°
C. 9°
D. 48°
13. A cruise ship travels 330 miles due east before turning 25° north of east. It travels 180 miles along its new course. How far is the cruise ship from its initial position?
A. 210 miles
B. 499 miles
C. 301 miles
D. 295 miles
14.In ΔFGH, FH=8 ft, FG = 13 ft, and m∠F = 72°. Find m∠G. Round your answer to the nearest tenth.
A. 26.2°
B. 35.9°
C. 72.1°
D. 32.5°
15. In triangle ΔXYZ, XY = 15, YZ = 21, and XZ = 27. What os the measure of angle Z to the nearest degree?
A. 34°
B. 39°
C. 56°
D. 117°
8. B. 405 meters
9. D. 79 feet
10. A. 9 + 27 √3
11. A. 30.2 in.
12. D. 48°
13. C. 301 miles
14. B. 35.9°
15. D. 117°