9. An airplane pilot over the Pacific sights an atoll at an angle of depression of 5°. At this time, the horizontal distance from the airplane to the atoll is 4629 meters. What is the height of the plane to the nearest meter? 50 4629 m A. 403 m B. 405 m C. 4611 m D. 4647 m

12. From point B, Bob uses a clinometer to determine the angle of elevation to the top of a cliff as 38°. From point D, 68.5 m away from Bob, Dana estimates the angle CDB to be 42°, while Bob estimates that the angle CBD to be 63°. Find the height of the cliff. h 38 63 42 68.5 m D

2. Building X is 100ft tall. Building Y is 200ft away from building X, where the distance is measured from the bottoms of the two buildings. Building Y is shorter than building X. The angle of depression from the top of building X to the top of building Y is 10° (a) Draw a diagram to the right showing the two buildings. Label known lengths and angles. (b) Find the height of building Y. (c) Find the angle of depression from the top of building Y to the bottom of building X. 00303000 13. A plane took off from a runway along a 5° angle of elevation. After 120 miles along that angle, it reached cruising altitude, and leveled off. (a) How far east did the plane travel before reaching the cruising altitude? Sins - 120 10.4 = x (b) What was the cruising altitude? sins = 10.4 Cuis 120 = 108.8 14. A rectangle has sides of length 6 and 10. Find the measure of the smaller angle formed loro its two diagonals cross.

1. Find the value of angle to the nearest degree. Show your work for full marks. [2 Knowledge Marks] 13 mm 23 mm

258 ft 13. A person flying a kite originally lets out 232 feet of line. At this point the person observes an angle to the kite of 48°. The person then lets out an additional line for a total of 258 feet. At this point the person observes an angle of 53°. If the kite rise vertically between the two points in the time as shown, determine, to the nearest foot, how much higher the kite is as point C than at point B. B. 232 ft 53° 48° A

10. The angle of elevation from the ground to the top of a sky scraper 965 feet tall is 59° as shown. To the nearest foot, how far away from the base of the building along the ground was the angle measurement taken? 965 ft (1) 580 (3) 1622 59° (2) 1126 (4) 1874

17.What angle in standard position, to the nearest degree, does the terminal point P(3, -2) form? a. 33° b. 326° С. 34° d. 334°