Welcome to your Trigonometry(Senior Class Maths Study by Topics) NAME EMAIL PHONE NUMBER 1. The difference in longitude betweenP(55°N, 12°W) and Q(15°S, 65°W) is 77° 53° 40° 70° None 2. A hunter on the ground observes a bird perching on a tree on a bearing of S15°W. The bearing of the hunter from the bird is N15°E N75°W N75°E N15°W None 3. Given that tan²θ + sec²θ = 3, the value of θ (for 0°<θ<90°) is 30 degrees 60 degrees 45 degrees 90 degrees None 4. A young man 1.7 m tall, while standing, measures the angle of elevation of the top of a pole as 40°. If he is 15 m from the pole, what is the height of the pole? 9 m 12.5 m 14.3 m 20.2 m None 5. In a triangle PQR, <PQR = 60°, PQ = 3 cm and QR = 4 cm. Find |PR| 2√3 cm √13 cm 5 cm 2√5 cm None 6. Which of the following have the same value as sin 15°?I. sin 165°II. sin 285°III. sin (-15°)IV. sin (-195°) I and III only III and IV only I and IV only I and II only None 7. The hypotenuse of a right-angled isosceles triangle is 8 units. The length of each of the other sides are 4(√2-1) 4 4/√2 4√2 None 8. 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? 40° 50° 90° 45° None 9. The latitudes on which the radius of the parallel of latitude is one-half of the earth's radius are 30°N and 60°S 60°N and 30°S 60°N and 60°S 30°N and 30°S None 10. The values of θ for whichsin θ = cos θ are within the range 0° < θ < 360° 135° and 225° 45° and 225° 45° and 315° 45° and 135° None 11. From an observation point close to the edge of the sea, a ship is 14 km away on a bearing of 130°.A second ship is 48 km away on a bearing of 220º. The distance separating the ships is 55 km 34 km 50 km 62 km None 12. Toronto is on a bearing of 225°from Georgia. Texas is directly North of Toronto and directly West of Georgia. If Texas is located 20 km away from Georgia, how far is Toronto from Georgia 40 km 20 km 20√2 km 30 km None 13. If there is no stop-over at Dubai, and the average speed of the airplane is 500km/hr, the total time taken for the plane to fly from Lagos to Kuala Lumpur via Dubai is approximately 7 h 5 h 8 h 10 h None 14. A girl 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. How far is R from P 30 km 38.6 km 42.4 km 25.2 km None 15. If cos θ = -½, the values of θ could be 120 or 300 degrees -60 or 240 degrees -60 or 120 degrees 120 or 240 degrees None 16. 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 221° 041° 319° 286° None 17. A bearing of 310°, expressed as a compass bearing is S 50° W N 40° W S 40° W N 50°W None 18. The values of tan 225° and tan 315° are respectively 1 and -1 -1 and 1 1 and 1 -1 and -1 None 19. If sin-¹(0.966) = 75°, then sin-¹(-0.966) equals 105 or 255 degrees 195 or 285 degrees 255 or 285 degrees 75 or 105 degrees None 20. 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 21. If the shadow of a pole 7 m high is half of its length, what is the angle of elevation of the sun 63° 34° 23° 12° None 22. Given that sin θ = 4/5, the value of (1 - cos²θ) for 0°< θ < 90° is 9/16 2/5 16/25 9/25 None 23. Points X and Y are respectively 48m North and 20m East of point Z, The bearing of X and Y is approximately 157° 067° 337° 247° None 24. Sin 38° has the same value as sin 128° cos 308° sin (-38°) sin 218° None 25. The value of 2cos 270° + sin 270° is 1 0 -1 -2 None 1 out of 25 Time's upTime is Up!