Welcome to your Trigonometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. A bearing of 310°, expressed as a compass bearing is S 40° W S 50° W N 50°W N 40° W None 2. Three cities Cape Town, Prague and Tbilisi are such that Prague is located 50 km away from Cape Town on a bearing of 065°.Tbilisi is 100 km away from Cape Town on a bearing of 305°. The bearing of Tbilisi from Prague is approximately 041° 221° 319° 286° None 3. Point P(60°S,22°E) lies on the same latitude as point Q. If the distance PQ measured along the parallel of latitude is 5,oo5 km, the radius of the earth is 6.370 km and π = 22/7, the longitude of point Q is 67°E 30°W 68°W 30°E None 4. The latitudes on which the radius of the parallel of latitude is one-half of the earth's radius are 30°N and 30°S 60°N and 30°S 60°N and 60°S 30°N and 60°S None 5. If sin-¹(0.966) = 75°, then sin-¹(-0.966) equals 255 or 285 degrees 105 or 255 degrees 195 or 285 degrees 75 or 105 degrees None 6. An observer standing on the top of a building 40 m high views a stone on the ground level at an angle of depression of 38°. The distance of the stone from the foot of the building in metres, is equal to 40 cos 38° 40 cot 38° 40 tan 38° 40 sin 38° None 7. Two towns P(θ°N, 7°E) and Q(θ°N, 29°W) are separated by a distance of 2,002 km, measured along the parallel of latitude. If R = 6,370 km and π = 22/7, the value of θ is 30° 60° 90° 45° None 8. Solve the equation 4sinθ - 1 = -3 for 0° < θ < 2π 30 or 150 degrees 210 or 300 degrees 240 or 300 degrees 210 or 330 degrees None 9. The angle of elevation of the top of a tower from an observer on the ground is 60°. If the top of the tower is 100 m away from the observer, how high is the tower? 50 m 86.6 m 173.2 m 200 m None 10. From a point P 30 m away from the foot of a tree, the angle of elevation of the top of the tree is 30°. From a point Q on the opposite side of the tree, the angle of elevation of the top of the three is 45°. The distance between P and Q is 17.3 m 47.3 m 50 m 42 m None 11. Given that tan²θ + sec²θ = 3, the value of θ (for 0°<θ<90°) is 90 degrees 45 degrees 30 degrees 60 degrees None 12. Three cities London, Seoul and Harare are such that Seoul is located 50 km away from London on a bearing of 065°. Harare is 100 km away from London on a bearing of 305°. The distance between Seoul and Harare is 50√3 km 50√7 km 50√5 km 50√2 km None 13. If the bearing of New York from Kansas city is 125°, the bearing of Kansas city from New York is? 55° 215° 305° 235° None 14. A woman 1.65 m tall stood 50 m away from the foot of a tower and observed that the angle of elevation pf the top of the tower to be 50°. What is the height of the tower? 24.5 m 61.2 m 12 m 23m None 15. In a triangle PQR, <PQR = 60°, PQ = 3 cm and QR = 4 cm. Find |PR| 5 cm 2√3 cm 2√5 cm √13 cm None 16. If cos θ > 0 and sin θ < 0, then 180° < θ < 270° 0° < θ < 90° 270°< θ < 360° 90° < θ < 180° None 17. An aircraft flies from Jordan(30°S, 44°E) to Riyadh(30°S, 28°W) in 26/3 hours. If radius of the earth is 6,370 km, π = 22/7, and the plane flies along the parallel of latitude, its average speed, to the nearest kilometer is 462 km/h 800 km/h 770 km/h 620 km/h None 18. From the top of a 100m high building, a man observes the top of a tree at an angle of depression of 30°. If the tree is 50 m tall, the angle of depression of the foot of the tree as viewed by the man is tan-1(√3) tan-1(2√3/2) tan-1(2√3) tan-1(√3/2) None 19. If cos θ = √3/2, evaluate (3-2√3)/ 3 (√3-2)/ 3 √3/2 -1 1/2 None 20. The sine, cosine and tangent of 240° are, respectively -√3/2, 1/2 and -√3 √3/2, 1/2 and √3 √3/2, -1/2 and √3 -√3/2, -1/2 and √3 None 21. The bearing of N75°W can also be expressed as 165° 075° 225° 285° None 22. Three locations on the surface of the earth are Mumbai(45°N, 20ºE), Guanzhou(45°N, 40°E) and Ibadan(45°S, 40°E). Which of the following statements are correct?I. Guanzhou and Ibadan are on the same longitude.II. Guanzhou and Ibadan are on the same latitude.III. The difference between the longitudes of Mumbai and Guanzhou is 60°.IV. The difference between the latitudes of Mumbai and Ibadan is 90°. I and IV only I and III only II and III only II and IV only None 23. sin 38° has the same value as cos 308 sin 128 sin 218 sin (-38) None 24. Two locations on the equator are on longitudes 20°W and 70°E respectively. If R = 6,370 km and π = 22/7, their distance apart along the equator, correct to 2 significant figures is 15,000 km 11,000 km 5,600 km 10,000 km None 25. Amanda walks 30 m from a point P on a bearing of 040º to a point Q. She then walks 30 m on a bearing of 140º to a point R. What is her bearing from P to R? 90° 50° 40° 45° None 1 out of 25 Time's upTime is Up!